March 3, 2015
Problem of the Week
for Tuesday, March 3, 2015
A narcissistic cube is a whole number that equals the sum of its digits cubed. Three hundred and seventy one has this property since 371= 27 + 343 + 1. Three hundred and seventy also has this property as well as the numbers zero and one. There are only two other numbers that are narcissistic cubes. Can you find them?
(Hint: One of them is between 100 and 200 and the other is between 400 and 500.)