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345311664 = 24364711119
BaseRepresentation
bin10100100101010…
…000100110110000
3220001202122112220
4110211100212300
51201344433124
654133121040
711362046355
oct2445204660
9801678486
10345311664
11167a12845
1297789180
1356704239
1433c0a62c
15204ae879
hex149509b0

345311664 has 40 divisors (see below), whose sum is σ = 893514240. Its totient is φ = 114915648.

The previous prime is 345311657. The next prime is 345311669. The reversal of 345311664 is 466113543.

It is not an unprimeable number, because it can be changed into a prime (345311669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25497 + ... + 36615.

It is an arithmetic number, because the mean of its divisors is an integer number (22337856).

Almost surely, 2345311664 is an apocalyptic number.

It is an amenable number.

345311664 is an abundant number, since it is smaller than the sum of its proper divisors (548202576).

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

345311664 is a wasteful number, since it uses less digits than its factorization.

345311664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11771 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 345311664 is about 18582.5634399563. The cubic root of 345311664 is about 701.5690409315.

The spelling of 345311664 in words is "three hundred forty-five million, three hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 647 1294 1941 2588 3882 5176 7764 10352 11119 15528 22238 31056 33357 44476 66714 88952 133428 177904 266856 533712 7193993 14387986 21581979 28775972 43163958 57551944 86327916 115103888 172655832 345311664