Peculiar Numbers

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,

Multiplication Puzzle

Here is a simple multiplication puzzle.  It is not difficult, if properly attacked: 

A x B = B, B x C = AC, C x D = BC, D x E = CH, E x F = DK, F x H = CJ, H x J = KJ, J x K = E, K x L = L, 
A x L = L. 

Every letter represents a different digit form 0 to 9, and, of course, AC, BC, etc., are two-figure numbers. Can you find the values in figures of all the letters?


Friends, I have tried a solution for this puzzle. Don't have any idea if it's the correct solution. If you could find any other solutions, kindly let me know.

Thank you, 


A x B = B       1 x 3 = 3 
B x C = AC     3 x 5 = 15
C x D = BC     5 x 7 = 35
D x E = CH    7 x 8 = 56
E x F = DK    8 x 9 = 72
F x H = CJ    9 x 6 = 54
H x J = KJ    6 x 4 = 24
J x K = E       4 x 2 = 8
K x L = L        2 x 0 = 0
A x L = L        1 x 0 = 0 


So, the value of each letter is, 

A = 1
B = 3
C = 5
D = 7
E = 8
F = 9
H = 6
J = 4
K = 2
L = 0