#nullable enable
using System;
using System.Linq;
using System.Collections;
using System.IO;
using System.Collections.Generic;
using System.Text;
using System.Numerics;
using System.Runtime.Intrinsics.X86;
using System.Buffers;
using System.Diagnostics;
using System.Runtime.CompilerServices;
using static InputUtility;
using System.Reflection;

class Program
{
    static void Main()
    {
        InputNewLine();
        var x = NextInt32;

        var abc = Abc();
        static (int v, int c)[] Abc()
        {
            List<(int v, int c)> abc = new();
            for (int a = 0; a <= 300; a++)
            {
                for (int b = a; b <= 300; b++)
                {
                    for (int c = b; c <= 300; c++)
                    {
                        abc.Add((a * a * a + b * b * b + c * c * c, c));
                    }
                }
            }

            return abc.ToArray();
        }

        Array.Sort(abc);

        var def = Def();

        static (int v, int d)[] Def()
        {
            List<(int v, int d)> def = new();

            for (int a = 0; a <= 300; a++)
            {
                for (int b = a; b <= 300; b++)
                {
                    for (int c = b; c <= 300; c++)
                    {
                        def.Add((a * a * a + b * b * b + c * c * c, a));
                    }
                }
            }

            return def.ToArray();
        }

        Array.Sort(def);
        Array.Sort(def);

        int res = 0;

        int left = def.Length - 1;

        foreach (var (v, c) in abc)
        {
            var target = x - v;

            if (target < 0)
            {
                break;
            }

            while (left >= 0 && target <= def[left].v)
            {
                left--;
            }

            left++;

            if (target != def[left].v)
            {
                continue;
            }

            for (int i = left; i < def.Length; i++)
            {
                if (target < def[i].v)
                {
                    break;
                }

                if (c <= def[i].d)
                {
                    res++;
                }
            }
        }

        Console.WriteLine(res);
    }
}

public static class InputUtility
{
    private static string[]? s_inputs;
    private static string? s_raw;
    private static int s_index = 0;

    private static void Init() => s_index = 0;
    public static int NextInt32 => int.Parse(s_inputs![s_index++]!);
    public static uint NextUInt32 => uint.Parse(s_inputs![s_index++]!);
    public static long NextInt64 => long.Parse(s_inputs![s_index++]!);
    public static string NextString => s_inputs![s_index++];
    public static char NextChar => s_inputs![s_index++][0];
    public static int[] GetInt32Array() => s_inputs!.Select(int.Parse).ToArray();
    public static long[] GetInt64Array() => s_inputs!.Select(long.Parse).ToArray();
    public static string GetRawString() => s_raw!;
#if DEBUG
    private static TextReader? s_textReader;
    public static void SetSource(string path) => s_textReader = new StringReader(File.ReadAllText(path));
#endif
    public static bool InputNewLine()
    {
#if DEBUG
        if (s_textReader is TextReader sr)
        {
            Init();
            s_raw = sr.ReadLine()!;
            s_inputs = s_raw.Split(' ', StringSplitOptions.RemoveEmptyEntries);
            return true;
        }
#endif
        Init();
        s_raw = Console.ReadLine()!;
        s_inputs = s_raw.Split(' ', StringSplitOptions.RemoveEmptyEntries);
        return true;
    }
}