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463067264 = 2711328883
BaseRepresentation
bin11011100110011…
…101100010000000
31012021100020212102
4123212131202000
51422021123024
6113541045532
714322002222
oct3346354200
91167306772
10463067264
11218431320
1210b0b68a8
1374c236ca
1445700412
152a9c01ae
hex1b99d880

463067264 has 32 divisors (see below), whose sum is σ = 1006385040. Its totient is φ = 210484480.

The previous prime is 463067263. The next prime is 463067291. The reversal of 463067264 is 462760364.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4630672643 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (463067263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163034 + ... + 165849.

Almost surely, 2463067264 is an apocalyptic number.

463067264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463067264 is an abundant number, since it is smaller than the sum of its proper divisors (543317776).

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

463067264 is a wasteful number, since it uses less digits than its factorization.

463067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328908 (or 328896 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 463067264 is about 21518.9977461777. The cubic root of 463067264 is about 773.6562292767.

The spelling of 463067264 in words is "four hundred sixty-three million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 328883 657766 1315532 2631064 3617713 5262128 7235426 10524256 14470852 21048512 28941704 42097024 57883408 115766816 231533632 463067264