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345054645720 = 23325958485127
BaseRepresentation
bin1010000010101101101…
…11000000110111011000
31012222122110012011122100
411001112313000313120
521123132442130340
6422303234323400
733633530044521
oct5012667006730
91188573164570
10345054645720
111233783964a4
1256a5a129560
13267001638a5
14129b4b57848
158e97ce3830
hex5056dc0dd8

345054645720 has 48 divisors (see below), whose sum is σ = 1121427599760. Its totient is φ = 92014572096.

The previous prime is 345054645709. The next prime is 345054645739. The reversal of 345054645720 is 27546450543.

345054645720 is a `hidden beast` number, since 3 + 4 + 50 + 546 + 4 + 57 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479242204 + ... + 479242923.

It is an arithmetic number, because the mean of its divisors is an integer number (23363074995).

Almost surely, 2345054645720 is an apocalyptic number.

345054645720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345054645720 is an abundant number, since it is smaller than the sum of its proper divisors (776372954040).

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

345054645720 is a wasteful number, since it uses less digits than its factorization.

345054645720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958485144 (or 958485137 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 345054645720 in words is "three hundred forty-five billion, fifty-four million, six hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 958485127 1916970254 2875455381 3833940508 4792425635 5750910762 7667881016 8626366143 9584851270 11501821524 14377276905 17252732286 19169702540 23003643048 28754553810 34505464572 38339405080 43131830715 57509107620 69010929144 86263661430 115018215240 172527322860 345054645720