#include<bits/stdc++.h>
#define ll long long
#define MAX 1000005
using namespace std;
const ll mod=998244353;
ll qm(ll x){
    if(x>=mod) x-=mod;
    return x;
}
ll fpow(ll a,ll b){
    ll r=1;
    while(b){
        if(b&1) r=r*a%mod;
        a=a*a%mod;b>>=1;
    }
    return r;
}
int pri[MAX],cnt;
bool vis[MAX];
void init(){
    int mx=1000000;
    for(int i=2;i<=mx;i++){
        if(!vis[i]) pri[++cnt]=i;
        for(int j=1;j<=cnt&&i*pri[j]<=i;j++){
            vis[i*pri[j]]=1;
            if(i%pri[j]==0) break;
        }
    }
}
ll n,m;
int id1[MAX],id2[MAX],tot;
int id(ll x){
    if(x<=m) return id1[x];
    return id2[n/x];
}
ll w[MAX];
ll g[MAX];
int main(){
    init();
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin>>n;m=sqrt(n);
    for(ll l=1,r;l<=n;l=r+1){
        w[++tot]=n/l;
        r=n/(n/l);
        g[tot]=w[tot]-1;
        if(w[tot]<=m) id1[w[tot]]=tot;
        else id2[n/w[tot]]=tot;
    }
    for(int i=1;i<=cnt;i++){
        for(int j=1;j<=tot&&1ll*pri[i]*pri[i]<=w[j];j++){
            int k=id(w[j]/pri[i]);
            g[j]-=(g[k]-(i-1));
        }
    }
    //for(int i=1;i<=tot;i++){
    //    cout<<i<<" "<<w[i]<<" "<<g[i]<<endl;
    //}
    ll ans=1;
    for(ll l=1,r;l<=n;l=r+1){
        int k=id(n/l);
        r=n/(n/l);
        ll tp=g[id(n/l)]-g[id(n/l/2)]+1;
        ll rs=w[k]-tp;
        ll sm=1;
        if(tp+(rs>0)>1) sm=(rs?rs:1ll)*fpow(w[k],tp+(rs>0)-2)%mod;
        //cout<<sm<<endl;
        ans=ans*fpow(sm,r-l+1)%mod;
    }
    cout<<ans;
}