#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for(int i=0;i<n;i++)
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<vector<int>> vvi;
typedef vector<vector<long long>> vvl;
typedef long double ld;

template <int m>
std::ostream& operator<<(std::ostream& os, const atcoder::static_modint<m>& a) {os << a.val(); return os;}
template<typename T>
istream& operator>>(istream& is, vector<T>& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;}
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;}
template <typename T>
ostream& operator<<(ostream& os, const vector<vector<T>>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;}

int main(){
	int n;
	cin >> n;
	auto cu = [&](int i){
		return i * i * i;
	};
	unordered_map<int, vector<int>> ma;
	for(int a = 0; a <= 300; a++){
		for(int b = a; b <= 300; b++){
			for(int c = b; c <= 300; c++){
				int x = cu(a) + cu(b) + cu(c);
				if(x > n) break;
				ma[x].push_back(c);
			}
		}
	}
	ll ans = 0;
	for(int d = 0; d <= 300; d++){
		for(int e = d; e <= 300; e++){
			for(int f = e; f <= 300; f++){
				int x = cu(d) + cu(e) + cu(f);
				if(2 * x < n) continue;
				if(x > n) break;
				int y = n - x;
				if(ma.find(y) != ma.end()){
					for(auto c : ma[y]){
						if(c <= d) ans++;
					}
				}
			}
		}
	}
	cout << ans;
	return 0;
}