#include "bits/stdc++.h" using namespace std; //#include "atcoder/all" //using namespace atcoder; #define int long long #define REP(i, n) for (int64_t i = 0; i < (int)n; ++i) #define RREP(i, n) for (int64_t i = (int)n - 1; i >= 0; --i) #define FOR(i, s, n) for (int64_t i = s; i < (int)n; ++i) #define RFOR(i, s, n) for (int64_t i = (int)n - 1; i >= s; --i) #define ALL(a) a.begin(), a.end() #define IN(a, x, b) (a <= x && x < b) templateistream&operator >>(istream&is,vector&vec){for(T&x:vec)is>>x;return is;} templateinline void out(T t){cout << t << "\n";} templateinline void out(T t,Ts... ts){cout << t << " ";out(ts...);} templateinline bool CHMIN(T&a,T b){if(a > b){a = b;return true;}return false;} templateinline bool CHMAX(T&a,T b){if(a < b){a = b;return true;}return false;} constexpr int64_t INF = 1000000000000000000; // 10^18 const int M = 2750131; int P[200000]; int invP[M + 1]; int minP[M + 1]; bool isP[M + 1]; void Eratosthenes() { int p = 0; REP(i, M + 1) isP[i] = true, minP[i] = -1; isP[0] = isP[1] = false; minP[0] = 0; minP[1] = 1; FOR(i, 2, M + 1) { if (isP[i]) { minP[i] = i; P[p] = i; invP[i] = p++; for (int j = i * 2; j < M; j += i) { isP[j] = false; if (minP[j] == -1) minP[j] = i; } } } } signed main() { int N; cin >> N; Eratosthenes(); int flg = true; int ans = 1; constexpr int MOD = 998244353; RFOR(i, 1, N + 1) { if(flg && isP[i]) flg = false; else if(isP[i]) { int powP = 1; while(powP * i <= N) { powP *= i; } ans = (ans * powP) % MOD; } } out(ans); }