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12346461342 = 233431619857
BaseRepresentation
bin10110111111110100…
…00000110010011110
31011212110001012222000
423133322000302132
5200241143230332
65401043303130
7614646122055
oct133772006236
934773035860
1012346461342
11526628a166
12248697aaa6
131219b7c137
14851a4739c
154c3daab7c
hex2dfe80c9e

12346461342 has 64 divisors (see below), whose sum is σ = 27576806400. Its totient is φ = 4094521920.

The previous prime is 12346461331. The next prime is 12346461373. The reversal of 12346461342 is 24316464321.

12346461342 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 646 + 1 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12346461297 and 12346461306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14406178 + ... + 14407034.

It is an arithmetic number, because the mean of its divisors is an integer number (430887600).

Almost surely, 212346461342 is an apocalyptic number.

12346461342 is an abundant number, since it is smaller than the sum of its proper divisors (15230345058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12346461342 is a wasteful number, since it uses less digits than its factorization.

12346461342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12346461342 in words is "twelve billion, three hundred forty-six million, four hundred sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 431 619 857 862 1238 1293 1714 1857 2571 2586 3714 3879 5142 5571 7713 7758 11142 11637 15426 16713 23139 23274 33426 46278 266789 369367 530483 533578 738734 800367 1060966 1108101 1591449 1600734 2216202 2401101 3182898 3324303 4774347 4802202 6648606 7203303 9548694 9972909 14323041 14406606 19945818 28646082 228638173 457276346 685914519 1371829038 2057743557 4115487114 6173230671 12346461342