## Number such that a^b * N, the digits a and b are in N

For example,

3^4 * 425 = 34425

the digits 3 and 4 are in front of the product, which happens to be 425, the factor.

This is quite remarkable!!

Can you find other examples?

Can you find examples where the digits of the first factor are somewhere else in the product?

UPDATE

Examples of a digit moved in a arithmetic operation:

the number 4 on the right side is moved to the left end

102,564 * 4 = 410,256

the last digit moved to the first position:

128,205 * 4 = 512,820

153,846 * 4 = 615,384
179,487 * 4 = 717,948
205,128 * 4 = 820,512
230,769 * 4 = 923,076

142,857 * 5 = 714,285

the last digit moved to the first position

105,263,157,894,736,842          1
—————————————– =  ——-
210,526,315,789,473,684           2

157,894,736,842,105,263            1
—————————————— =  —–
315,789,473,684,210,526            2

210,526,315,789,473,684           1
—————————————— = —–
421,052,631,578,947,368           2

263,157,894,736,842,105            1
—————————————— = ——-
526,315,789,473,684,210            2

315,789,473,684,210,526            1
—————————————— = ——-
631,578,947,368,421,052             2

368,421,052,631,578,947               1
—————————————— = ——–
736,842,105,263,157,894               2

421,052,631,578,947,368               1
——————————————- = ——–
842,105,263,157,894,736               2

473,684,210,526,315,789                1
——————————————- = ———-
947,368,421,052,631,578                2