#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>
using namespace std;

using ll = int;

int main() {
	ll X;
	cin >> X;
	constexpr ll M = 300;
	unordered_map<ll, vector<pair<ll, ll>>> mp;
	for( ll a = M; a >= 0; --a ) {
		for( ll b = M; b >= a; --b ) {
			for( ll c = M; c >= b; --c ) {
				ll s = a*a*a+b*b*b+c*c*c;
				mp[s].push_back(make_pair(a, c));
			}
		}
	}
	ll ans = 0;
	for( auto [s, v] : mp ) {
		if( !mp.count(X-s) || s > X-s ) continue;
		for( auto &p : v ) {
			for( auto &q : mp[X-s] ) {
				if( p.second <= q.first ) ans++;
				else break;
			}
		}
	}
	cout << ans << "\n";
}