A352464 Numbers k whose decimal expansion ends in the product of digits of k.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 236, 240, 250, 260, 270, 280, 290, 300, 310, 315, 320, 324, 330, 340, 350, 360, 370, 380, 390, 400

Offset: 1

Author

Eric Angelini and Carole Dubois, Mar 17 2022

Keywords

• base
• nonn

Examples

			   10 is a term because  "10" ends in  "0" = 1*0;
  118 is a term because "118" ends in  "8" = 1*1*8;
  236 is a term because "236" ends in "36" = 2*3*6; etc.
		

Crossrefs

Cf. A203565, A352462, A352463.

Programs

Mathematica

q[n_] := Module[{d = IntegerDigits[n], p, dp, ndp}, p = Times @@ d; dp = IntegerDigits[p]; ndp = Length[dp]; dp == d[[-ndp ;; -1]]]; Select[Range[400], q] (* Amiram Eldar, Mar 17 2022 *)

Python

from math import prod
def ok(n): s = str(n); return s.endswith(str(prod(map(int, s))))
print([k for k in range(1, 401) if ok(k)]) # Michael S. Branicky, Mar 17 2022