#include using namespace std; #if __has_include() #include using namespace atcoder; #endif using ll = long long; using ld = long double; #define all(s) (s).begin(),(s).end() #define vcin(n) for(ll i=0;i>n[i] #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) #define rever(vec) reverse(vec.begin(), vec.end()) #define sor(vec) sort(vec.begin(), vec.end()) #define fi first #define se second //#define P pair const ll mod = 998244353; //const ll mod = 1000000007; const ll inf = 2000000000000000000ll; static const long double pi = 3.141592653589793; void YesNo(bool a){if(a){cout<<"Yes"< void chmax(T& t,const U& u){if(t void chmin(T& t,const U& u){if(t>u) t=u;} ll modPow(ll a, ll n, ll mod) { ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; } int main() { /* mod は 1e9+7 */ ios::sync_with_stdio(false); std::cin.tie(nullptr); cout<< fixed << setprecision(10); ll a; cin>>a; vector n(a+2,1); n[0]=n[1]=0; for(int i=2;i<=a;i++){ if(n[i]){ for(int j=i*2;j<=a;j+=i){ n[j]=0; } } } ll t=0; for(int i=a;i>=1;i--){ if(n[i]){ t=i; break; } } ll ans=1; for(int i=1;i<=a;i++){ if(n[i]==0||i==t) continue; ll tmp=1; ll k=i; while(k*i<=a){ tmp++; k*=i; } ans*=modPow(i,tmp,mod); ans%=mod; } cout<