#include<bits/stdc++.h>
#define Gc() getchar()
#define Me(x,y) memset(x,y,sizeof(x))
#define Mc(x,y) memcpy(x,y,sizeof(x))
#define d(x,y) ((m)*(x-1)+(y))
#define R(n) (rnd()%(n)+1)
#define Pc(x) putchar(x)
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define eb emplace_back
#define all(x) x.begin(),x.end()
using namespace std;using ll=long long;using db=double;using lb=long db;using ui=unsigned;using ull=unsigned long long;using pii=pair<int,int>;
const int N=1e6+5,M=N*120+5,K=1000+5,mod=998244353,Mod=mod-1;const db eps=1e-9;const int INF=1e9+7;mt19937 rnd(263082);
#define Tp template<typename T>
#define Ts template<typename T,typename... Ar>
namespace Debug{
	Tp void _debug(char* f,T t){cerr<<f<<'='<<t<<endl;}
	Ts void _debug(char* f,T x,Ar... y){while(*f!=',') cerr<<*f++;cerr<<'='<<x<<",";_debug(f+1,y...);}
	#ifdef LOCAL
	#define gdb(...) _debug((char*)#__VA_ARGS__,__VA_ARGS__)
	#else 
	#define gdb(...) void()
	#endif
}using namespace Debug;
ll mpow(ll x,int y=mod-2){ll ans=1;while(y) y&1&&(ans=ans*x%mod),y>>=1,x=x*x%mod;return ans;}
int n;
int vis[N];ll f[N],g[N],dp[N];
int flag[N],pr[N],ph,mu[N];
void init(){
	mu[1]=1;
	for(int i=2;i<=n;i++){
		if(!flag[i]) pr[++ph]=i,mu[i]=-1;
		for(int j=1;j<=ph&&i*pr[j]<=n;j++){
			flag[i*pr[j]]=1;
			if(i%pr[j]==0) break;
			mu[i*pr[j]]=-mu[i];
		}
	}
}
void calc(int n){
	if(vis[n]) return;
	vis[n]=1;
	for(int i=1;i<=n;i++){
		g[n]+=mu[i]*(mpow(2,n/i)-1)%mod;
	}
	g[n]=(g[n]%mod+mod)%mod;
	for(int i=2;i<=n;i++){
		calc(n/i);
		f[n]+=(mpow(2,i/2-1)-1)*(f[n/i]+f[n/i]-dp[n/i])*2%mod;
		f[n]+=(mpow(2,i/2-1)-1)*(g[n/i]*2-1)%mod;
		f[n]+=f[n/i]-dp[n/i];
		f[n]+=g[n/i]-mpow(2,n/i-1);
		if(n==5) gdb(f[n]);
	}
	f[n]=(f[n]%mod+mod)%mod;
	for(int i=2;i<=n;i++){
		dp[n]+=f[n/i]*3-dp[n/i];
		dp[n]+=mpow(2,n/i-1)-1;
	}
	dp[n]%=mod;
	gdb(n,f[n],g[n],dp[n]);
}
void Solve(){
	scanf("%d",&n);
	init();
	calc(n);
	gdb(f[n]);
	printf("%lld\n",(f[n]+mpow(2,n-1))%mod);
}
int main(){
	int t=1;
	// scanf("%d",&t);
	while(t--) Solve();
	cerr<<clock()*1.0/CLOCKS_PER_SEC<<'\n';
}