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A172424
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Numbers n with digits different from 0 and 1 such that the sum of digits and the product of digits divides n.
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0
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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
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OFFSET
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1,1
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REFERENCES
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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
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LINKS
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Eric Weisstein's World of Mathematics, Digit.
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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