#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

const int MOD = 998244353;

int add(int a, int b) {
	return a + b >= MOD ? a + b - MOD : a + b;
}

int sub(int a, int b) {
	return a >= b ? a - b :  a + MOD - b;
}

int mul(int a, int b) {
	return (1ll * a * b) % MOD;
}

int pw(int x, int n) {
	int res = 1;
	while (n) {
		if (n % 2 == 0) {
			x = mul(x, x);
			n /= 2;
		} else {
			res = mul(res, x);
			--n;
		}
	}
	return res;
}

const int T = 20210926;

const int SZ = T + 100;
int mem[SZ];
unordered_map<int, int> big_mem;

int& get(int x) {
	if (x < SZ) {
		return mem[x];
	} 
	return big_mem[x];
}

int f(int x, vector<array<int, 2>> prm) {
	int& res = get(x);
	if (res != 0) return res;
	int szp = prm.size();
	int ans = 0;
	for (int mask = 1; mask < (1 << szp); ++mask) {
		int go = 1;
		int x1 = x;
		vector<array<int, 2>> prm1;
		int cnt = 0;
		for (int i = 0; i < szp; ++i) {
			if (mask & (1 << i)) {
				++cnt;
				go *= prm[i][0];
				x1 /= prm[i][0];
				if (prm[i][1] > 1) {
					prm1.push_back({prm[i][0], prm[i][1] - 1});
				}
			} else {
				prm1.push_back(prm[i]);
			}
		}
		if (go > T) continue;
		int res = f(x1, prm1);
		if (x1 > 1) {
			res = add(res, res);
		}
		if (cnt % 2 == 1) {
			ans = add(ans, res);
		} else {
			ans = sub(ans, res);
		}
	}
	return res = ans;
}

const int STEP = 2e5, N = 1e9;

const int ER = 5e4;
int mn[ER];

vector<int> sums = {463443233, 74635785, 562074786, 997840619, 420212568, 757834603, 182556177, 444832180, 815302335, 195380453, 362319601, 792540738, 118645482, 417131208, 594375822, 834457057, 199756955, 446388490, 586980259, 290139518, 295677403, 228271294, 813394814, 44432906, 531721631, 399240043, 583931411, 358170759, 217717639, 325290023, 239439976, 136299549, 895516584, 572030161, 212980688, 240284950, 896496163, 964969071, 345677456, 697893222, 249082989, 957195894, 185883585, 907733231, 305373255, 585878910, 26559674, 577518250, 58990633, 53980650, 349657739, 553249858, 889145284, 652577621, 401960547, 468209107, 189929531, 462540052, 984021813, 851174202, 217925297, 458369223, 3621520, 609723106, 584350030, 444072688, 553084578, 42073478, 571885897, 805133334, 130758782, 862552068, 401328662, 630343697, 424813122, 121403722, 731020154, 893694673, 42216452, 630282545, 577868830, 234644642, 272680974, 206138684, 873536468, 872952078, 897290125, 573784925, 288796085, 509235889, 497765220, 539279702, 116652585, 944725741, 730041929, 207105768, 967683496, 816522038, 812763695, 103392255, 428357499, 953791082, 660943454, 604939691, 894758404, 543202657, 493138862, 963755199, 825367766, 66535461, 267573576, 644522359, 28624297, 292279831, 575065262, 124419294, 173849343, 389783303, 619352015, 769241876, 601185195, 904781723, 844535728, 705830559, 102905204, 222518537, 594264246, 274071141, 875733550, 993336349, 823017313, 372876779, 181600718, 328704433, 210608944, 772613435, 618147997, 705870243, 213529238, 781424278, 985004804, 166383507, 249879792, 584890390, 274552591, 370902428, 996329562, 752616066, 868260192, 274300720, 501773275, 927128294, 349728327, 256582082, 543056192, 501856405, 520256893, 957369236, 701659455, 722460061, 101542213, 439533205, 32490420, 348985910, 163616689, 989175662, 695608781, 449698035, 890058053, 94612159, 554398470, 581947367, 727273052, 651582189, 804016663, 565618577, 757847989, 452107917, 116009547, 151896626, 792320888, 269295540, 767074595, 344057709, 135042573, 532414883, 859372067, 895689141, 341525356, 213557785, 393007699, 729635715, 302291605, 705936067, 255970354, 139957490, 951821427, 238687428, 629238473, 719411018, 314654293, 207779101, 102079748, 725349308, 589115001, 877582093, 362469733, 335277397, 882622558, 564571936, 483064917, 978339827, 343880071, 524040841, 884056622, 788921878, 766915226, 815412435, 966736317, 468064152, 644145995, 746329869, 572950259, 708343531, 768213775, 813739048, 849228485, 715516098, 12137926, 229119619, 230267016, 24876084, 647021701, 937052094, 558474915, 765743270, 241786612, 685283838, 809412385, 419333824, 315257418, 593574920, 714158436, 798960008, 139643921, 250454369, 707571064, 451545662, 215356884, 498787671, 479134031, 750996169, 323791467, 749982643, 593242472, 736533090, 290981367, 207580690, 772121724, 574316731, 803024251, 673692481, 424914212, 533273342, 629387139, 807891941, 320912423, 509292778, 512185317, 737709666, 783965252, 979157666, 705285409, 792214770, 869907424, 164210366, 516266714, 861672846, 812306759, 827061189, 471909015, 278692770, 791773345, 325349599, 607026220, 602026124, 998173107, 776156635, 427393075, 788046673, 63333449, 775553570, 651508768, 429126406, 992608286, 110493759, 50191102, 938418582, 414502408, 833066730, 844051056, 653164963, 42427280, 113626983, 447857044, 580490250, 712095489, 889852528, 404464923, 134832046, 242606660, 290533066, 714817143, 330147642, 716880082, 736264119, 736430288, 52733175, 485362036, 458657452, 90936133, 850285504, 132512434, 842802635, 864806418, 602593766, 998154611, 786813415, 173979117, 553015031, 628179291, 288793139, 276374791, 212178553, 372952852, 728917490, 596927162, 503710975, 533349661, 54110136, 48027231, 235476507, 718412216, 510262532, 942498465, 654213338, 674138508, 544984693, 123504827, 290743200, 579535945, 312811260, 423920226, 306459465, 535948302, 661576736, 753382064, 157848266, 492162575, 901583203, 616256224, 254710685, 51812682, 720878377, 837051842, 367114939, 833579655, 188763189, 574760222, 639639225, 890030714, 5072734, 523402416, 52198112, 26243044, 602658785, 480334270, 537405918, 915009935, 295361929, 917214639, 407985080, 773059953, 426425355, 316286053, 13747895, 488873258, 74129775, 153306746, 515085311, 346127892, 333515249, 149373928, 242762906, 491142127, 769463401, 188846514, 681110155, 548357953, 101116840, 948960060, 57592880, 406506499, 275860417, 200193572, 671087576, 514649244, 783161751, 487714144, 118521617, 620872527, 970997541, 718638708, 632144905, 112910082, 868705939, 682523441, 220051004, 105008238, 780714332, 160496885, 891679829, 545607222, 397274195, 133085905, 987234668, 589138679, 55726188, 823531811, 805279341, 19587939, 128752998, 784385713, 705863888, 146123120, 545793428, 452456808, 82453558, 619593310, 120333365, 914814067, 334411042, 225578353, 196968430, 754363834, 270042547, 909793122, 9002585, 705022715, 480132395, 99723953, 938829698, 120462943, 517635698, 386314085, 920529939, 828090956, 871193415, 994808213, 233888133, 65797458, 479904908, 310882623, 558272659, 479879614, 811469424, 98705686, 565952275, 396195250, 662554198, 113665332, 848982496, 88821855, 646255566, 270471208, 408273295, 232433428, 774239741, 977467771, 192102645, 358746727, 808437755, 522516892, 651694411, 931217139, 267511594, 62965373, 187772837, 573466864, 634903701, 614345228, 923100479, 165617009, 44979082, 929322707, 414731119, 279352952, 581963565, 106546486, 801552732, 829862122, 100979406, 721355702, 294858975, 797517229, 955116117, 65162967, 588728723, 496757651, 680804434, 157145636, 702619904, 771214255, 162733479, 932765778, 206993606, 563838991, 786410964, 311254675, 330575845, 329743787, 793001680, 783377032, 222807837, 87542909, 750801982, 752040688, 584176193, 558565978, 724180916, 865656376, 639129401, 52846576, 27892001, 230962168, 990802319, 226239977, 959463446, 469838011, 61168810, 549355660, 925431801, 757823676, 618012280, 979647322, 46056942, 443821012, 833003356, 660168160, 249110639, 492392382, 793775931, 185223724, 723642739, 136691212, 105502028, 970424895, 281082884, 358901354, 875406330, 620464322, 332265466, 312860478, 665330312, 586324612, 465755333, 907725622, 82528662, 38432286, 44939282, 7816039, 427382583, 373294677, 37759097, 915713413, 132009939, 180019769, 551303938, 363547451, 422629423, 146288579, 300598773, 189355898, 840768038, 759357056, 45845328, 690732169, 806676768, 278232485, 500634361, 500454915, 708677510, 342831661, 801893856, 997274235, 767172064, 496244069, 543802013, 940322679, 732178141, 961363620, 678901430, 761792070, 382073137, 948995687, 575848801, 180403823, 461013648, 66664573, 938923850, 356029021, 885748109, 147804323, 379651605, 63149576, 972980624, 513569072, 157231985, 95588147, 141089729, 835638319, 480616920, 33289884, 977463497, 298330754, 386166441, 405215538, 267588907, 58018968, 681595348, 189113700, 16806403, 123300154, 937324105, 410953267, 262902512, 84563939, 796074899, 862711523, 403920559, 427262916, 433940294, 386593412, 475338850, 394647944, 153662887, 613442980, 958440430, 443082655, 757686271, 880838, 809535745, 627108006, 180362601, 303847967, 102597156, 822126592, 43893058, 445662477, 758887102, 909564120, 652700367, 166304402, 9063603, 559799714, 10864456, 859652738, 239451991, 30140776, 268731379, 12380134, 959066209, 57409210, 338155919, 698575767, 979549374, 439743041, 842501119, 312814107, 427456934, 485985247, 320266152, 695091614, 143072236, 548129406, 162908775, 292019473, 904739593, 719442946, 506216411, 296167237, 435162410, 801821415, 620445288, 450557645, 298244990, 469603909, 624009490, 78051972, 947958432, 358014611, 44363387, 788714110, 16290928, 966528728, 389650657, 298998219, 172066270, 231817735, 512898538, 380755663, 824202046, 291850364, 911169626, 394732669, 739944789, 364591526, 540434745, 820666569, 788609087, 73986831, 757535811, 324105149, 445180755, 869903653, 462302127, 874209066, 129888092, 92844052, 80154699, 473640621, 47473612, 83088093, 315514807, 554552845, 136649237, 776992, 653954112, 676215422, 850511776, 217558922, 806046990, 795472914, 628845840, 807082089, 228272131, 952877876, 76844738, 850651189, 311064315, 336213288, 477058104, 984393445, 341307824, 753316115, 698111961, 620785944, 602411968, 738139318, 593192775, 63854343, 691013908, 623785733, 410918445, 321129730, 86311832, 783286293, 835458307, 635523219, 884765893, 620738409, 388916976, 609092276, 609311794, 429888451, 39298805, 214742142, 178964492, 117015662, 521408276, 696328127, 971153839, 690952592, 797263446, 297323621, 685476990, 245583961, 91431583, 685061270, 770923308, 853009077, 858876291, 820292363, 317832475, 666327980, 191849486, 254582021, 947203595, 920514318, 860766221, 706618702, 396647778, 407675664, 138052258, 168677399, 603944392, 723152467, 156405486, 382371646, 659035229, 737162839, 504837465, 300225586, 405039530, 465096478, 902217927, 97287365, 63032417, 96244993, 62115756, 904701519, 142053522, 129464190, 492081107, 473094357, 997016449, 848045248, 25316856, 73770239, 202588059, 852287611, 115105186, 962632053, 202279603, 893513923, 196230126, 620951241, 324094913, 566891486, 616983945, 355506171, 449837184, 696978532, 561469553, 239452488, 631677170, 259295922, 106740001, 957137555, 311797861, 805702916, 822934611, 365533272, 579692563, 742258448, 473946977, 38456945, 127362830, 953126058, 182594421, 919752791, 536831727, 34402310, 939240974, 688717031, 15156011, 902598715, 448257564, 327133462, 838972350, 215915173, 746306702, 196658791, 935520263, 840306708, 249873454, 428954972, 192992286, 508892303, 991242115, 577899906, 495639063, 810460362, 709108283, 481611108, 811883618, 987944466, 294458472, 383478018, 82502842, 758871098, 454427257, 3184808, 611422010, 785308616, 582923504, 867095842, 470367746, 644666557, 201209549, 794198659, 461592203, 885263266, 707407829, 569382420, 755067745, 70179472, 286675735, 817891348, 744375434, 498160384, 187963792, 447971150, 23065893, 697348021, 987837398, 264264623, 205730751, 179834781, 595838672, 661599937, 836820278, 704892098, 700023682, 375103591, 572819476, 850214486, 760428762, 122721549, 698397061, 381085974, 381287403, 171343672, 520356373, 902786346, 812072538, 91943806, 536650870, 887291190, 231672142, 506235020, 963185680, 54787821, 748297346, 90986558, 311334511, 458763366, 470974798, 534581265, 927177279, 51986050, 750853324, 839007079, 778382104, 753932308, 934710318, 501636546, 574057400, 23026266, 725951298, 394804160, 612990432, 189732367, 835715095, 789917676, 908366173, 156600608, 373359729, 583611820, 951811702, 184197352, 79303071, 554998136, 606414270, 215920774, 490035607, 47281178, 817821881, 136319399, 804070456, 590857363, 150778766, 890883801, 742182864, 276232335, 959361968, 724723055, 169029332, 987834328, 905569947, 980737752, 127771064, 299913049, 804883333, 943686425, 786590567, 148848259, 258990588, 538286416, 46130551, 47397571, 931282518, 711619928, 614966451, 857860295, 494104686, 12465398, 143133608, 232133630, 229959521, 813507119, 265508283, 893461805, 89972557, 163748002, 441512620, 223927965, 567703252, 658595949, 306966820, 940960715, 294970009, 227145254, 605288711, 24394564, 243579252, 469290110, 460323023, 143304656, 353778679, 872517276, 972522306, 463688542, 336757339, 483263088, 939313531, 817201111, 295879585, 243295551, 921708029, 979153209, 399739619, 318160814, 29977783, 952956687, 656462643, 101959152, 797022231, 651071539, 300007797, 470924081, 719647114, 890031355, 454213863, 327956501, 578140647, 964834494, 656272222, 752829191, 697167486, 334913166, 941614626, 978582970, 979274993, 376803958, 241735629, 201425685, 234845330, 523433431, 341929528, 249042572, 466776376, 175054708, 843231046, 441165786, 408091949, 184564374, 584209515, 377052976, 866416253, 465790752, 221034399, 948207621, 657147459, 679328596, 220427774, 393234084, 361954744, 828670312, 546544970, 754209162, 738425448, 575725139, 280915095, 22308244, 404598849, 97946791, 552712205, 745527364, 902228086, 873269724, 626747752, 125137446, 363982998, 12554987, 11927924, 336950778, 484162657, 437882621, 618976042, 786906393, 956576165, 347980208, 681629735, 745726071, 636447557, 670202562, 536161104, 461465290, 360012224, 939369000, 26873375, 68012546, 306985756, 735822441, 691037059, 306505384, 859383989, 321929613, 364760337, 698205930, 885496554, 484337646, 747627623, 27323972, 209532411, 118086723, 471967387, 466929792, 839810499, 170204803, 749383092, 746721040, 597433812, 338655338, 959834882, 954503236, 266139595, 788727221, 557780632, 678307222, 333325324, 723858758, 427304442, 411163460, 903957386, 781812333, 347476662, 168440742, 837543413, 803696185, 670715096, 588588511, 272558418, 614166774, 959215762, 411409144, 749033561, 284158708, 783566896, 899105366, 266184658, 905331154, 411304028, 78679392, 473629843, 887208175, 396940833, 709666687, 155741177, 310369447, 89798578, 228688723, 162306054, 495984234, 626506756, 335961652, 429497561, 133152163, 939656238, 427113581, 805033869, 104097861, 319630097, 142674526, 63647300, 493822333, 411599112, 592631745, 638262721, 870221327, 867676868, 471332262, 150578771, 667252726, 458958463, 766502510, 727361511, 800726508, 990023969, 207308140, 435899499, 648985790, 532697663, 560715312, 897069024, 203016945, 8556637, 645049929, 160530059, 682457721, 732586846, 199082518, 390883584, 219470300, 610578581, 126873462, 513597138, 567548845, 40232007, 355704575, 376893216, 389941443, 363237588, 201696281, 818823264, 430076981, 807580596, 515357893, 522601965, 291581128, 3059219, 605107387, 816238354, 504348749, 297484666, 654235254, 506624018, 43102359, 865038523, 200024015, 973210455, 91036854, 384336538, 187267013, 936052877, 629190147, 457250113, 96040919, 425694975, 768723870, 953958936, 930575337, 153106632, 699287606, 776707546, 814359919, 48707978, 421730421, 694776758, 971686462, 407866553, 736953877, 628986695, 138270033, 880146254, 381140081, 593006730, 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int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	/// freopen("mem.out", "w", stdout);

	vector<int> prm;
	for (int i = 2; i < ER; ++i) {
		if (mn[i] == 0) {
			mn[i] = i;
			prm.push_back(i);
		}
		for (int p : prm) {
			if (p * i >= ER || p > mn[i]) break;
			mn[i * p] = p;
		}
	}

	mem[1] = 1;
	/**cerr << "er"  << endl;

	cout << "vector<int> sums = {";
	
	for (int s = 0; s < N; s += STEP) {
		big_mem.clear();
		vector<vector<array<int, 2>>> dec(STEP);
		vector<int> rem(STEP);
		iota(rem.begin(), rem.end(), s + 1);
		for (int p : prm) {
			for (int i = s / p + 1; i * p <= s + STEP; ++i) {
				dec[i * p - s - 1].push_back({p, 0});
				while (rem[i * p - s - 1] % p == 0) {
					dec[i * p - s - 1].back()[1]++;
					rem[i * p - s - 1] /= p;
				}
			}
		}
		for (int i = 0; i < STEP; ++i) {
			if (rem[i] > 1) {
				dec[i].push_back({rem[i], 1});
			}
		}
		int ans = 0;
		for (int i = 0; i < STEP; ++i) {
			int res = f(i + s + 1, dec[i]);
			ans = add(ans, res);
			if (i < 100 && s == 0) {
				cerr << i + 1 << ": " << ans << endl;
			}
		}
		cout << ans << ", ";
		cerr << s + STEP << " / " << N << endl;
	}
	cout << "};\n";*/


	int n;
	cin >> n;
	int ans = 0;
	for (int s = 0; s < N; s += STEP) {
		if (s + STEP <= n) {
			ans = add(ans, sums[s / STEP]);
			continue;
		}
		vector<vector<array<int, 2>>> dec(STEP);
		vector<int> rem(STEP);
		iota(rem.begin(), rem.end(), s + 1);
		for (int p : prm) {
			for (int i = s / p + 1; i * p <= s + STEP; ++i) {
				dec[i * p - s - 1].push_back({p, 0});
				while (rem[i * p - s - 1] % p == 0) {
					dec[i * p - s - 1].back()[1]++;
					rem[i * p - s - 1] /= p;
				}
			}
		}
		for (int i = 0; i < STEP; ++i) {
			if (rem[i] > 1) {
				dec[i].push_back({rem[i], 1});
			}
		}
		for (int i = 0; i < n - s; ++i) {
			int res = f(i + s + 1, dec[i]);
			ans = add(ans, res);
		}
		break;
	}

	cout << ans << "\n";

	return 0;
}