A337054 Numbers that have at least 3 different representations as the product of a number and of its decimal digits.

0, 549504, 1798848, 4193856, 4804128, 5827584, 7426944, 14397696, 34324992, 39401250, 39611040, 42856128, 45312750, 62593440, 81575424, 86171040, 92348928, 140184576, 151600896, 196475328, 221695488, 251584704, 263680704, 271165104, 287945280, 475388928, 499654656

Offset: 1

Author

Chai Wah Wu, Aug 12 2020

Keywords

• nonn
• base

Comments

Subsequence of A336944. a(2) and a(43) both have 4 representations. The term 1461825635235840 = 696266592*(6*9*6*2*6*6*5*9*2) = 72511192224*(7*2*5*1*1*1*9*2*2*2*4) = 5371199424*(5*3*7*1*1*9*9*4*2*4) = 7161599232*(7*1*6*1*5*9*9*2*3*2) = 1193599872*(1*1*9*3*5*9*9*8*7*2) has 5 representations.

Examples

			a(43) = 1578092544 = 342468*(3*4*2*4*6*8) = 913248*(9*1*3*2*4*8) = 97848*(9*7*8*4*8) = 86976*(8*6*9*7*6).
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..11157

Crossrefs

Cf. A098736, A336826, A336876, A336944, A337051.