cubes of digits of 3-digits

Number Theory Level pending

a^3 + b^3 + c^3 = abc . Find the sum of all 3-digit numbers that satisfy the equation.

Note. abc is a three digit number not a multiplication.


The answer is 1301.

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1 solution

Jan Lee
Mar 19, 2015

the numbers that satisfy the equation are 153, 370, 371 and 407. and their sum is 1301

but how did u find that?

divyansh tripathi - 6 years, 2 months ago

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