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34306464 = 253357359
BaseRepresentation
bin1000001011011…
…1100110100000
32101112221121210
42002313212200
532240301324
63223150120
7564412563
oct202674640
971487553
1034306464
1118401a55
12b5a5340
1371521aa
1447b04da
153029d29
hex20b79a0

34306464 has 24 divisors (see below), whose sum is σ = 90054720. Its totient is φ = 11435456.

The previous prime is 34306439. The next prime is 34306469. The reversal of 34306464 is 46460343.

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

It is not an unprimeable number, because it can be changed into a prime (34306469) 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, 178584 + ... + 178775.

It is an arithmetic number, because the mean of its divisors is an integer number (3752280).

Almost surely, 234306464 is an apocalyptic number.

It is an amenable number.

34306464 is an abundant number, since it is smaller than the sum of its proper divisors (55748256).

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

34306464 is a wasteful number, since it uses less digits than its factorization.

34306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357372 (or 357364 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 34306464 is about 5857.1720138647. The cubic root of 34306464 is about 324.9316274316.

The spelling of 34306464 in words is "thirty-four million, three hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 357359 714718 1072077 1429436 2144154 2858872 4288308 5717744 8576616 11435488 17153232 34306464