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345795768 = 233229165611
BaseRepresentation
bin10100100111000…
…110110010111000
3220002200020121200
4110213012302320
51202010431033
654151334200
711366133633
oct2447066270
9802606550
10345795768
1116821352a
1297981360
13568436a6
1433cd4c1a
1520558013
hex149c6cb8

345795768 has 48 divisors (see below), whose sum is σ = 968830200. Its totient is φ = 111289920.

The previous prime is 345795761. The next prime is 345795803. The reversal of 345795768 is 867597543.

345795768 is a `hidden beast` number, since 3 + 4 + 579 + 5 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345795761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80718 + ... + 84893.

Almost surely, 2345795768 is an apocalyptic number.

It is an amenable number.

345795768 is an abundant number, since it is smaller than the sum of its proper divisors (623034432).

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

345795768 is a wasteful number, since it uses less digits than its factorization.

345795768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165652 (or 165645 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 345795768 is about 18595.5846372197. The cubic root of 345795768 is about 701.8967388963.

It can be divided in two parts, 3457 and 95768, that added together give a square (99225 = 3152).

The spelling of 345795768 in words is "three hundred forty-five million, seven hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 165611 331222 496833 662444 993666 1324888 1490499 1987332 2980998 3974664 4802719 5961996 9605438 11923992 14408157 19210876 28816314 38421752 43224471 57632628 86448942 115265256 172897884 345795768