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

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

    int X; cin >> X;
    vector<int> C(301);
    vector<tuple<int,int,int,int>> abc;
    for(int i=0; i<301; i++) C.at(i) = i*i*i;
    for(int a=0; a<=300; a++) for(int b=a; b<=300; b++) for(int c=b; c<=300; c++){
        int cube = C.at(a)+C.at(b)+C.at(c);
        abc.push_back({cube,a,b,c});
    }
    sort(abc.begin(),abc.end());
    
    int answer = 0;
    int l = 0,r = abc.size()-1;
    while(l < abc.size()){
        auto &[cube1,a1,b1,c1] = abc.at(l);
        if(cube1 > X) break;
        l++;
        
        while(r >= 0){
            auto &[cube2,a2,b2,c2] = abc.at(r);
            if(cube1+cube2 > X) r--;
            else break;
        }
        auto &[cube2,a2,b2,c2] = abc.at(r);
        if(cube1+cube2 != X) continue;

        int rl = r;
        while(true){
            auto &[cube3,a3,b3,c3] = abc.at(rl);
            if(cube2 == cube3) rl--;
            else{rl++; break;}
            if(rl < 0){rl++; break;}
        }

        for(int i=rl; i<=r; i++){
            auto &[cube3,a3,b3,c3] = abc.at(i);
            if(c1 <= a3) answer++;
        }
    }
    cout << answer << endl;
}