#include <iostream>
#include <vector>
#include <cmath>
#include <map>
#include <set>
#include <iomanip>
#include <queue>
#include <algorithm>
#include <numeric>
#include <deque>

using namespace std;

const long long modc=998244353, MAX=1000000;
vector<long long> f, finv;

long long inv(long long x){
    long long ans = 1, e = modc-2;
    x %= modc;

    while (e > 0){
        if ((e & 1LL)) ans = (ans * x) % modc;
        e = e >> 1LL;
        x = (x*x) % modc;
    }

    return ans;
}


void init(){
    f.resize(MAX+1); finv.resize(MAX+1);
    f[0] = 1;
    for (int i=1; i<=MAX; i++) f[i] = (f[i-1]*i) % modc;
    finv[MAX] = inv(f[MAX]);
    for (int i=MAX-1; i>=0; i--) finv[i] = (finv[i+1] * (i+1)) % modc;
}

long long C(long long n, long long k){ 
    if (n < k || k < 0) return 0;

    return (((f[n] * finv[k]) % modc) * finv[n-k]) % modc;
}

set<long long> factor;

void all_factor(long long n){
    factor.clear();
    for (long long i = 1; i*i <= n; i++){
        if (n % i == 0){
            factor.insert(i);
            factor.insert(n / i);
        }
    }
}

int main(){

    init();
    long long H, W, K, ans=0;
    cin >> H >> W >> K;
    all_factor(K);

    for (auto x : factor){
        ans += (C(H, x) * C(W, K/x)) % modc;
        ans %= modc;
    }

    cout << ans << endl;

    return 0;
}