

A038369


Numbers n such that n = (product of digits of n) * (sum of digits of n).


15




OFFSET

1,3


COMMENTS

The list is complete. Proof: One shows that the number of digits is at most 84 and then it is only necessary to consider numbers of the forms 2^i*3^j*7^k and 3^i*5^j*7^k.  David W. Wilson, May 16 2003


LINKS

Table of n, a(n) for n=1..4.
Eric Weisstein's World of Mathematics, SumProduct Number.
Eric Weisstein's World of Mathematics, Digit.


EXAMPLE

144 belongs to the sequence because 1*4*4=16, 1+4+4=9 > 16*9=144


MATHEMATICA

pdsdQ[n_]:=Module[{idn=IntegerDigits[n]}, (Total[idn]Times@@idn)==n]; Select[Range[0, 150], pdsdQ] (* From Harvey P. Dale, Apr 23 2011 *)


CROSSREFS

n = A007953(n) * A007954(n).
Cf. A066282.
Sequence in context: A007251 A219443 A230699 * A066282 A235809 A066176
Adjacent sequences: A038366 A038367 A038368 * A038370 A038371 A038372


KEYWORD

nice,nonn,fini,base,full


AUTHOR

Felice Russo


STATUS

approved



