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349911264 = 2535776317
BaseRepresentation
bin10100110110110…
…011100011100000
3220101102100000110
4110312303203200
51204034130024
654415451320
711446124313
oct2466634340
9811370013
10349911264
1116a57456a
1299226b40
13576549b1
143468697a
1520abc629
hex14db38e0

349911264 has 48 divisors (see below), whose sum is σ = 920254608. Its totient is φ = 116416512.

The previous prime is 349911227. The next prime is 349911269. The reversal of 349911264 is 462119943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349911269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52234 + ... + 58550.

It is an arithmetic number, because the mean of its divisors is an integer number (19171971).

Almost surely, 2349911264 is an apocalyptic number.

It is an amenable number.

349911264 is an abundant number, since it is smaller than the sum of its proper divisors (570343344).

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

349911264 is a wasteful number, since it uses less digits than its factorization.

349911264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6899 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 349911264 is about 18705.9152141776. The cubic root of 349911264 is about 704.6703111154.

The spelling of 349911264 in words is "three hundred forty-nine million, nine hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577 1154 1731 2308 3462 4616 6317 6924 9232 12634 13848 18464 18951 25268 27696 37902 50536 55392 75804 101072 151608 202144 303216 606432 3644909 7289818 10934727 14579636 21869454 29159272 43738908 58318544 87477816 116637088 174955632 349911264