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346230464 = 2619284729
BaseRepresentation
bin10100101000110…
…000111011000000
3220010111022220112
4110220300323000
51202113333324
654204530452
711402624156
oct2450607300
9803438815
10346230464
11168490088
1297b50a28
13569664c8
1433da93d6
15205e1c0e
hex14a30ec0

346230464 has 28 divisors (see below), whose sum is σ = 723214200. Its totient is φ = 164003328.

The previous prime is 346230463. The next prime is 346230487. The reversal of 346230464 is 464032643.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 346230464.

It is not an unprimeable number, because it can be changed into a prime (346230461) 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, 141149 + ... + 143580.

Almost surely, 2346230464 is an apocalyptic number.

It is an amenable number.

346230464 is an abundant number, since it is smaller than the sum of its proper divisors (376983736).

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

346230464 is a wasteful number, since it uses less digits than its factorization.

346230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284760 (or 284750 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 346230464 is about 18607.2691172026. The cubic root of 346230464 is about 702.1907312577.

The spelling of 346230464 in words is "three hundred forty-six million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 284729 569458 1138916 2277832 4555664 5409851 9111328 10819702 18222656 21639404 43278808 86557616 173115232 346230464