using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    static int[] LList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => int.Parse(ReadLine())).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var pdiv = GetMinPDivList(n);
        var counts = new int[n + 1];
        for (var i = 2; i <= n; ++i)
        {
            var p = PDiv(i, pdiv);
            foreach (var kv in p) counts[kv.Key] = Math.Max(counts[kv.Key], kv.Value);
        }
        var islast = true;
        var ans = 1L;
        var mod = 998_244_353;
        for (var i = n; i > 1; --i)
        {
            if (counts[i] > 0)
            {
                if (islast) islast = false;
                else for (var j = 0; j < counts[i]; ++j) ans = ans * i % mod;
            }
        }
        WriteLine(ans);
    }
    static int[] GetMinPDivList(int max)
    {
        var minPDivList = new int[max + 1];
        for (var i = 0; i <= max; ++i) minPDivList[i] = i;

        for (var i = 2; i * i <= max; ++i) if (minPDivList[i] == i)
        {
            for (var j = i * i; j <= max; j += i) if (minPDivList[j] == j)
            {
                minPDivList[j] = i;
            }
        }
        return minPDivList;
    }
    static Dictionary<int, int> PDiv(int n, int[] minPDivList)
    {
        var p = minPDivList[n];
        if (n == p)
        {
            var dic = new Dictionary<int, int>();
            dic.Add(p, 1);
            return dic;
        }
        else
        {
            var dic = PDiv(n / p, minPDivList);
            if (dic.ContainsKey(p)) ++dic[p];
            else dic.Add(p, 1);
            return dic;
        }
    }
}