#include <bits/stdc++.h>

using namespace std;
using ll = long long;

const ll modc=998244353, MAX=1000000;
class mint {
    ll x;
public:
    mint(ll x=0) : x((x%modc+modc)%modc) {}
    mint operator-() const {
      return mint(-x);
    }
    mint& operator+=(const mint& a) {
        if ((x += a.x) >= modc) x -= modc;
        return *this;
    }
    mint& operator-=(const mint& a) {
        if ((x += modc-a.x) >= modc) x -= modc;
        return *this;
    }
    mint& operator*=(const  mint& a) {
        (x *= a.x) %= modc;
        return *this;
    }
    mint operator+(const mint& a) const {
        mint res(*this);
        return res+=a;
    }
    mint operator-(const mint& a) const {
        mint res(*this);
        return res-=a;
    }
    mint operator*(const mint& a) const {
        mint res(*this);
        return res*=a;
    }
    mint pow(ll t) const {
        if (!t) return 1;
        mint a = pow(t>>1);
        a *= a;
        if (t&1) a *= *this;
        return a;
    }
    mint inv() const {
        return pow(modc-2);
    }
    mint& operator/=(const mint& a) {
        return (*this) *= a.inv();
    }
    mint operator/(const mint& a) const {
        mint res(*this);
        return res/=a;
    }
    bool operator == (const mint& a) const{
        return x == a.x;
    }
    friend ostream& operator<<(ostream& os, const mint& m){
        os << m.x;
        return os;
    }
    friend istream& operator>>(istream& ip, mint &m) {
        ll t;
        ip >> t;
        m = mint(t);
        return ip;
    }
    ll val(){
        return x;
    }
};

vector<mint> f, finv;

mint inv(mint x){
    mint ans = 1;
    ll e = modc-2;

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

    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;
    finv[MAX] = inv(f[MAX]);
    for (int i=MAX-1; i>=0; i--) finv[i] = finv[i+1] * (i+1);
}

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

    return f[n] * finv[k] * finv[n-k] ;
}

mint P(ll n, ll k){
    if (n < k || k < 0) return 0;

    return f[n] * finv[n-k];
}

mint H(ll n, ll k){
    if (n == 0 && k == 0) return 1;
    return C(n+k-1, k);
}

vector<ll> factor;

void all_factor(ll n){
    factor.clear();
    for (ll i = 1; i*i <= n; i++){
        if (n % i == 0){
            factor.push_back(i);
            if (i*i != n) factor.push_back(n / i);
        }
    }
    sort(factor.begin(), factor.end());
}

int main(){
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);

    init();

    ll h, w, k, y;
    cin >> h >> w >> k;
    all_factor(k);

    mint ans=0;
    for (auto x : factor){
        y = k / x;
        ans += C(h, x) * C(w, y);
    }

    cout << ans << endl;

    return 0;
}