use std::io;
use std::collections::HashMap;

fn solve() -> i32 {
  // input! {
  //   x: i64,
  // }
  let x: i32 = input().parse().unwrap();
  let mut cubes: HashMap<i32, u128> = HashMap::new();
  for a in 0..=300i32 {
    for b in a..=300 {
      for c in b..=300 {
        let y = a.pow(3) + b.pow(3) + c.pow(3);
        if let Some(v) = cubes.get_mut(&y) {
          *v <<= 9;
          *v |= c as u128;
        }else {
          cubes.insert(y, c as u128);
        }
      }
    }
  }
  let mut ans = 0;
  for d in 0..=300i32 {
    for e in d..=300 {
      for f in e..=300 {
        let y = d.pow(3) + e.pow(3) + f.pow(3);
        if let Some(v) = cubes.get(&(x - y)) {
          let mut zero = true;
          let mut u = *v;
          while u > 0 || zero {
            let c = (u & 0x1ff) as i32;
            if c <= d {
              ans += 1;
            }
            u >>= 9;
            zero = false;
          }
        }
      }
    }
  }
  return ans;
}

fn input() -> String {
  let mut buffer = String::new();
  io::stdin().read_line(&mut buffer).unwrap();
  return buffer.trim().to_string();
}

fn main() {
  println!("{}", solve());
}