#include <bits/stdc++.h>
using namespace std;

#define fuck cout<<"fuck " 
#define _ <<' '<<
#define __ <<' '
#define __l <<'\n'

#define endl '\n'
#define all(x) (x).begin(), (x).end()
#define Mod(x) ((x) %MOD +MOD) %MOD
#define int long long
#define append push_back
const int INF = 6452864528;
const int N = 1e5 + 10;
const int MatN = 3;
const int MOD = 998244353;
int tin,tinn,tinnn,tmp;string stin,stinn,stinnn;int itr;
// ---
// ---
void solve(){
    int n; cin>>n;
    // for(int n=2;n<100;n++){
    int res = 0;
    for(int a=2;a<=n;a++){
        int tmp = a;
        int exp = 1;
        int ares = 0;
        while(tmp * a <= n){
            ares -= exp * tmp;
            tmp *= a;
            ares += exp * tmp;
            exp ++;
        }
        ares = (ares + exp * (n+1-tmp)) %MOD;
        ares = (ares * a) %MOD;
        res = (res + ares) %MOD;
    }
    cout<<res %MOD<<endl;
    // }
}

signed main(){
    ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
    //cout<<fixed<<setprecision(3);
    signed o_O = 1;
    // cin>>o_O;
    while (o_O--) solve();
    return 0;
}