#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb push_back
#define fi first
#define se second
typedef pair<ll, ll> P;
using VP = vector<P>;
using VVP = vector<VP>;
using VI = vector<ll>;
using VVI = vector<VI>;
using VVVI = vector<VVI>;
const int inf = 1e9 + 7;
const ll INF = 1LL << 61;
const ll mod = 1e9 + 7;

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    ll i, j, k;
    ll n;
    cin >> n;
    n *= n;
    ll ans = 0;
    for (i = 1; i * i <= n; i++) {
        for (j = 1; j <= i; j++) {
            if (i * j * (i + j) > n) break;
            for (k = 1; k <= j; k++) {
                if (i * j * k * (i + j + k) > n) break;
                ans += i * j * k * (i + j + k) == n;
            }
        }
    }
    cout << ans << endl;
}