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460330564 = 22265743313
BaseRepresentation
bin11011011100000…
…001011001000100
31012002012012211011
4123130001121010
51420321034224
6113402252004
714256513421
oct3334013104
91162165734
10460330564
11216932191
1210a1b7004
13744a5b65
14451cad48
152a62e394
hex1b701644

460330564 has 12 divisors (see below), whose sum is σ = 805900284. Its totient is φ = 230073344.

The previous prime is 460330561. The next prime is 460330679. The reversal of 460330564 is 465033064.

It can be written as a sum of positive squares in 2 ways, for example, as 406425600 + 53904964 = 20160^2 + 7342^2 .

It is a super-3 number, since 3×4603305643 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (460330561) 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, 11029 + ... + 32284.

It is an arithmetic number, because the mean of its divisors is an integer number (67158357).

Almost surely, 2460330564 is an apocalyptic number.

It is an amenable number.

460330564 is a deficient number, since it is larger than the sum of its proper divisors (345569720).

460330564 is a wasteful number, since it uses less digits than its factorization.

460330564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45974 (or 45972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 460330564 is about 21455.3155185376. The cubic root of 460330564 is about 772.1291295179.

The spelling of 460330564 in words is "four hundred sixty million, three hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 2657 5314 10628 43313 86626 173252 115082641 230165282 460330564