.
. .
 
 
Subj:.....The Sum Of The Cubes
..........Of It's Digits (S673)
          By Dave Ellis 
          From: The Puzzle Page on 12/5/2008
Drawing from BusinessEnglishBook.com...

.
Source: http://www.puzzlet.co.uk/Puzzlets/Puzzlet_007.html 

Find integers less than 10,000 which are equal to the sum of the
cubes of their own digits. Repeat the exercise for 4th powers. 

Example: 153 = 1³ + 5³ + 3³ 

.
.
Finger pointing down
from darrell94590 on 1/2/2006
.
 
 
 
Drawing from Ripleys-Believe It Or Not
..

              THE SOLUTION
 

Dave Ellis wrote a basic program which you can see at
http://www.puzzlet.co.uk/Solutions/Puzzlet_007_sol.html
to find all the solutions which are listed below:

Power 3:  1 153 370 371 407

Power 4:  1 1634 8208 9474

.
.