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A038369 Numbers n such that n = (product of digits of n) * (sum of digits of n). 14
0, 1, 135, 144 (list; graph; refs; listen; history; text; internal format)
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, Sum-Product 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

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Last modified September 15 22:53 EDT 2014. Contains 246792 sequences.