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id	challengeType	title	forumTopicId
5900f38a1000cf542c50fe9d	5	Problem 30: Digit n powers	301953

Description

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

1634 = 1⁴ + 6⁴ + 3⁴ + 4⁴
8208 = 8⁴ + 2⁴ + 0⁴ + 8⁴
9474 = 9⁴ + 4⁴ + 7⁴ + 4⁴

As 1 = 1⁴ 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 n powers of their digits.

Instructions

Tests

tests:
  - text: <code>digitnPowers(2)</code> should return a number.
    testString: assert(typeof digitnPowers(2) === 'number');
  - text: <code>digitnPowers(2)</code> should return 0.
    testString: assert(digitnPowers(2) == 0);
  - text: <code>digitnPowers(3)</code> should return 1301.
    testString: assert(digitnPowers(3) == 1301);
  - text: <code>digitnPowers(4)</code> should return 19316.
    testString: assert(digitnPowers(4) == 19316);
  - text: <code>digitnPowers(5)</code> should return 443839.
    testString: assert(digitnPowers(5) == 443839);

Challenge Seed

function digitnPowers(n) {

  return n;
}

digitnPowers(5);

Solution

// solution required

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