030.js

// 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.

function isFifthPowerDigitsNumber(n) {
    var sum = 0;
    var number = n;
    while (number) {
        sum += Math.pow(number % 10, 5);
        number = Math.floor(number/10);
    }
    return sum === n;
}

function fifthPowerDigitNumbersSum(max) {
    var sum = 0;
    while (max-- > 10) {
        if (isFifthPowerDigitsNumber(max)) sum += max;
    }
    return sum;
}

console.log( fifthPowerDigitNumbersSum(1000000) );