#include using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; static const double EPS = 1e-12; static const double PI = acos(-1.0); template using V = vector; template using VV = V>; #define FOR(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define REP(i, n) for (int i = 0; i < (int)(n); i++) #define ALL(a) (a).begin(), (a).end() #ifdef LOCAL #define dbg(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl #else #define dbg(x) true #endif // auto mod int // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division const int mod = 998244353; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } ll sieve[1'000'001]; int main() { int n; cin >> n; REP(i, n + 1) { sieve[i] = i; } FOR(i, 2, n + 1) { for (int j = 2 * i; j <= n; j += i) { if (sieve[j] % sieve[i] == 0) { sieve[j] /= sieve[i]; } } } sort(sieve, sieve + n + 1); mint ans = 1; REP(i, n) { if (sieve[i] > 1) { ans *= sieve[i]; } } cout << ans << endl; return 0; }