# Problem 30

Solution to Problem 30. Written in Python.

Problem: Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 1^{4} + 6^{4} + 3^{4} + 4^{4}

8208 = 8^{4} + 2^{4} + 0^{4} + 8^{4}

9474 = 9^{4} + 4^{4} + 7^{4} + 4^{4}

As 1 = 1^{4} is not a sum it is not included.

The sum of these numbers is 1634 + 8208 + 9474 = 19316.

Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.