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A153428
Numbers n such that phi(n) = p^3, where p is product of digits of n.
3
1, 14611, 141152, 2831112, 113216152, 419521121, 5342121213, 7112216125, 11191442171, 11371542112, 12192256111, 12327134121, 12432712113, 13161313512, 14132133215, 113335111416, 127131142512, 133412214117, 196112145112, 311721152134, 312118111536, 312127213125, 322631161151, 411111553831, 432122133312
OFFSET
1,2
LINKS
Hiroaki Yamanouchi, Table of n, a(n) for n = 1..404 (terms a(1)-a(48) from Max Alekseyev)
EXAMPLE
phi(113216152) = (1*1*3*2*1*6*1*5*2)^3, so 113216152 is in the sequence.
MATHEMATICA
Do[If[Apply[Times, IntegerDigits[n]]^3==EulerPhi[n], Print[n]], {n, 300000000}]
CROSSREFS
Sequence in context: A175972 A175973 A265651 * A032736 A032738 A252218
KEYWORD
base,nonn
AUTHOR
Farideh Firoozbakht, Jan 02 2009
EXTENSIONS
a(6)-a(18) from Donovan Johnson, Nov 01 2010
a(19)-a(22) from Donovan Johnson, Aug 15 2013
a(23)-a(48) from Max Alekseyev, Aug 18 2013
STATUS
approved