#include<iostream>
#include<atcoder/modint>
using namespace std;
using mint=atcoder::modint998244353;
mint inv[10000001];
int N;
main()
{
	cin>>N;
	inv[1]=1;
	for(int i=2;i<=N;i++)inv[i]=mint::raw(998244353/i)*-inv[998244353%i];
	mint fac=1;
	for(int i=1;i<=N;i++)fac*=mint::raw(i);
	mint ans=0;
	{//i=j=k
		mint sum=0;
		for(int i=1;i<=N;i++)sum+=inv[i];
		ans+=sum*fac;
	}
	{//i=j<k * 6
		mint sum=0,sum2=0;
		for(int i=1;i<=N;i++)
		{
			sum+=inv[i];
			sum2+=inv[i]*inv[i];
		}
		ans+=(sum*sum-sum2)*3*fac;
	}
	{//i<j<k * 6
		mint sum=0,sum2=0,sum3=0;
		for(int i=1;i<=N;i++)
		{
			sum+=inv[i];
			sum2+=inv[i]*inv[i];
			sum3+=inv[i]*inv[i]*inv[i];
		}
		ans+=(sum*sum*sum-sum*sum2*3+sum3*2)*fac;
	}
	cout<<ans.val()<<endl;
}