n = int(input())
ans = 0
cubes = {}
for a in range(301):
	a3 = a * a * a
	for b in range(a, 301):
		b3 = b * b * b
		for c in range(b, 301):
			c3 = c * c * c
			x = a3 + b3 + c3
			y = (a << 18) | (b << 9) | c
			if x not in cubes:
				cubes[x] = 0
			cubes[x] <<= 27
			cubes[x] |= y
for d in range(301):
	d3 = d * d * d
	for e in range(d, 301):
		e3 = e * e * e
		for f in range(e, 301):
			f3 = f * f * f
			x = d3 + e3 + f3
			z = n - x
			if z in cubes:
				w = cubes[z]
				while w:
					if w & 0x1ff <= d:
						ans += 1
					w >>= 27
print(ans)