A172424 Numbers n with digits different from 0 and 1 such that the sum of digits and the product of digits divides n.

24, 36, 224, 432, 624, 735, 2232, 3276, 4224, 6624, 23328, 32832, 33264, 34272, 34992, 42336, 42624, 43632, 73332, 82944, 83232, 92232, 93744, 229392, 234432, 244224, 248832, 272832, 282624, 344736, 442368, 622272, 628224, 772632, 843264

Offset

1,1

References

Charles Ashbacher, Journal of Recreational Mathematics, Vol. 33 (2005), pp. 227.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 166, p. 53, Ellipses, Paris 2008.

J.M. De Koning & A. Mercier, Introduction a la theorie des nombres, Modulo, 2e edition, 1997

J.M. De Koning & A. Mercier, 1001 problemes en theorie classique des nombres, Ellipses, Paris,2004

Links

Table of n, a(n) for n=1..35.

Eric Weisstein's World of Mathematics, Digit.

Example

4 + 2 = 6 and 2*4 = 8 divide 24 3 + 6 = 9 and 3*6 = 18 divide 36 2+2+4 = 8 and 2*2*4 = 32 divide 224 23328, 2 +3+3+2+8 = 18 and 2*3*3*2*8 = 288 divide 23328

Crossrefs

Sequence in context: A185489 A303884 A304616 * A241286 A380568 A334803

Adjacent sequences: A172421 A172422 A172423 * A172425 A172426 A172427

Keyword

nonn,base,changed

Author

Michel Lagneau, Feb 02 2010

Status

approved