import bisect
ls = [[] for i in range(333)]
for i in range(1, 4444):
  x = i ** 3
  ls[x%333].append(x*i)
lim = 4444 ** 4
ans = 0
a = int(input())
for i in range(1, 4444):
  s3 = i ** 3 + i ** 3
  k = (a - s3) % 333
  s4 = i ** 4 + i ** 4
  cnt = bisect.bisect_right(ls[k], lim-s4) - bisect.bisect_left(ls[k], i**4)
  cnt = max(cnt, 0)
  ans += cnt * 3
  if ((i ** 3) * 3) % 333 == a and ((i ** 4) * 3) <= lim:
    ans -= 2
  for j in range(i+1, 4444):
    s3 = i ** 3 + j ** 3
    k = (a - s3) % 333
    s4 = i ** 4 + j ** 4
    cnt = bisect.bisect_right(ls[k], lim-s4) - bisect.bisect_left(ls[k], j**4)
    cnt = max(cnt, 0)
    ans += cnt * 6
    if ((i ** 3) + (j ** 3) * 2) % 333 == a and ((i ** 4) + (j ** 4) * 2) <= lim:
      ans -= 3
print(ans)