There are four numbers that are equal to the sum of the cubes of their digits. Below are three of them.
What is the missing equation?
153 = 1 cubed + 5 cubed + 3 cubed
370 = 3 cubed + 7 cubed + 0 cubed
?
407 = 4 cubed + 0 cubed + 7 cubed


cubes of their digits
What is the missing equation? 153 = 1 cubed + 5 cubed + 3 cubed 3 guesses to cubes of their digits 

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I started to try to figure this out using some mathematical method. However, I finally noticed that to get 370, the last added “cube” was adding a 0 to the number. Thus, you can both increment the left side and right side of the equation by adding a 1 (1 and 1 cubed, respectively). Thus,
371 = 3 cubed + 7 cubed + 1 cubed
BTW, thanks for putting these out there every day. They are a lot of fun to try to solve.
Matt, you are today’s winner!
371. 3 cubed + 7 cubed + 1 cubed.