The 3 digit numbers 407 and 370 have this peculiarity, that they exactly equal the sum of the cubes of their digits. Thus the cube of 4 is 64, the cube of 0 is 0, and the cube of7 is 343. Add together 64, 0, and 343, and you get 407. Again, the cube of 3 (27), added to the cube of 7 (343), is 370. Can you find a number not containing a zero that will work in the same way? |

Solution:

The other Numbers are 153 , 371.

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

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

Other numbers whose cube value are also same as the original number are 0 and 1.

0 = 0 ^ 3 = 0

1 = 1 ^ 3 = 1

Friends, If you could find any other such numbers...kindly let me know.

Thanks,