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349325664 = 2533638809
BaseRepresentation
bin10100110100100…
…100100101100000
3220100022120201120
4110310210211200
51203411410124
654355132240
711441135112
oct2464444540
9810276646
10349325664
1116a2045a6
1298ba4080
13574ab29c
14345733b2
1520a03d79
hex14d24960

349325664 has 24 divisors (see below), whose sum is σ = 916980120. Its totient is φ = 116441856.

The previous prime is 349325663. The next prime is 349325671. The reversal of 349325664 is 466523943.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349325663) 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 3 ways as a sum of consecutive naturals, for example, 1819309 + ... + 1819500.

It is an arithmetic number, because the mean of its divisors is an integer number (38207505).

Almost surely, 2349325664 is an apocalyptic number.

It is an amenable number.

349325664 is an abundant number, since it is smaller than the sum of its proper divisors (567654456).

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

349325664 is a wasteful number, since it uses less digits than its factorization.

349325664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638822 (or 3638814 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 349325664 is about 18690.2558569967. The cubic root of 349325664 is about 704.2769872522.

The spelling of 349325664 in words is "three hundred forty-nine million, three hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3638809 7277618 10916427 14555236 21832854 29110472 43665708 58220944 87331416 116441888 174662832 349325664