The number 371 is interesting because the sum of the cubes of each digit equals the number
The sum of the cubes of each digit of 371 → 33 + 73 + 13 = 27 + 343 + 1 = 371
Find another such number whose sum of the cubes of each digit equals the number. (Hint: the number is very close to 371.)
The number that is very close to 371 and also has the sum of the cubes of each digit equal to the number is 407.
The sum of the cubes of each digit of 407 → 43 + 03 + 73 = 64 + 0 + 343 = 407.
To find another number whose sum of the cubes of each digit equals the number, let's consider numbers close to 371.
Starting with numbers close to 371, let's try different values and calculate the sum of the cubes of each digit:
- 372: 32 + 72 + 22 = 27 + 343 + 4 = 374
- 373: 33 + 73 + 33 = 27 + 343 + 27 = 397
- 374: 34 + 73 + 42 = 64 + 343 + 16 = 423
- 375: 35 + 73 + 52 = 125 + 343 + 25 = 493
It seems that the next number closest to 371, where the sum of the cubes of each digit equals the number, is 374.