#include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; #define MOD 998244353 ll dp[1000005]; int main(){ int N; cin >> N; rep(i,1000005) dp[i] = i; REP(i,2,1000005){ for(int j=i*2;j<1000005;j+=i){ dp[j] /= dp[i]; } } for(int i=N; i>=0; i--){ if(dp[i] == i){ dp[i] = 1; break; } } ll ret = 1; REP(i,1,N+1){ ret *= dp[i]; ret %= MOD; } cout << ret << endl; return 0; }