Saturday, October 16, 2010

Four 3-digit Numbers

There are four 3-digit natural numbers, each of them equals the sum of the cubes of its digits.

Three of them are:

153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27

370 = 3^3 + 7^3 + 0^3 = 27 + 343 + 0

407 = 4^3 + 0^3 + 7^3 = 64 + 0 + 343

Do you know what the fourth one is?

It's 371.

371 = 3^3 + 7^3 + 1^3 = 27 + 343 + 1

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