using System;

class B
{
	static void Main()
	{
		var n = int.Parse(Console.ReadLine());

		long r = 1, pMax = 1;
		var a = new int[n + 1];
		for (int i = 0; i <= n; i++) a[i] = i;

		for (int i = 2; i <= n; i++)
		{
			var p = a[i];

			r *= p;
			r %= M;
			pMax = Math.Max(pMax, p);

			for (int j = i; j <= n; j += i)
				a[j] /= p;
		}

		Console.WriteLine(r * MInv(pMax) % M);
	}

	const long M = 998244353;
	static long MPow(long b, long i)
	{
		long r = 1;
		for (; i != 0; b = b * b % M, i >>= 1) if ((i & 1) != 0) r = r * b % M;
		return r;
	}
	static long MInv(long x) => MPow(x, M - 2);
}