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A038369
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Numbers n such that n = (product of digits of n) * (sum of digits of n).
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14
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OFFSET
| 1,3
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REFERENCES
| David W. Wilson: 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.
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
| 144 belongs to the sequence because 1*4*4=16, 1+4+4=9 -> 16*9=144
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MATHEMATICA
| pdsdQ[n_]:=Module[{idn=IntegerDigits[n]}, (Total[idn]Times@@idn)==n]; Select[Range[0, 150], pdsdQ] (* From Harvey P. Dale, Apr 23 2011 *)
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CROSSREFS
| n = A007953(n) * A007954(n).
Cf. A066282.
Sequence in context: A051387 A177348 A007251 * A066282 A066176 A025363
Adjacent sequences: A038366 A038367 A038368 * A038370 A038371 A038372
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KEYWORD
| nice,nonn,fini,base,full,bref
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AUTHOR
| Felice Russo (frusso(AT)micron.com)
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