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458340864 = 293298399
BaseRepresentation
bin11011010100011…
…011101000000000
31011221110010110120
4123110123220000
51414313401424
6113251500240
714233555512
oct3324335000
91157403416
10458340864
112157a3303
121095b7680
1373c5a317
1444c2dbb2
152a389a79
hex1b51ba00

458340864 has 40 divisors (see below), whose sum is σ = 1221052800. Its totient is φ = 152779776.

The previous prime is 458340863. The next prime is 458340877. The reversal of 458340864 is 468043854.

It is a super-2 number, since 2×4583408642 = 420152695224532992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458340863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147664 + ... + 150735.

It is an arithmetic number, because the mean of its divisors is an integer number (30526320).

Almost surely, 2458340864 is an apocalyptic number.

It is an amenable number.

458340864 is an abundant number, since it is smaller than the sum of its proper divisors (762711936).

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

458340864 is an equidigital number, since it uses as much as digits as its factorization.

458340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298420 (or 298404 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 458340864 is about 21408.8968422009. The cubic root of 458340864 is about 771.0150575502.

The spelling of 458340864 in words is "four hundred fifty-eight million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 298399 596798 895197 1193596 1790394 2387192 3580788 4774384 7161576 9548768 14323152 19097536 28646304 38195072 57292608 76390144 114585216 152780288 229170432 458340864