consider 3 digit number and cube each number in that 3 digit numberand add each cube no to get the same number

Question

example:333=3^3+3^3+3^3=27+27+27=81 no equal to 333

Answer 1

Assuming you're not including leading zeros, so 000, 001 are not valid

153, 370, 371 and 407 are the only numbers that fit.

Answer 2

153, 370, 371, 407

it is called narcissistic number(armstrong number) and can be defined n digit number. An n digit number that is the sum of the nth powers of its digits is called n-narcissistic number and it is proved by D. Winter that there are 88 narcissistic numbers in base 10. it frequentely appears study books of c++

but you can't find narcissistic numbers in 2 digit number because there is no such number. and so for the k digit number where k=12,13,15,18,22,26,30,36,37,38,39,...

Answer 3

153, 370, 371, 407

these are called Armstrong numbers. I answered the same question b4 also. below is a link to that question


u only asked that previous question.!!!