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643264 = 2619232
BaseRepresentation
bin10011101000011000000
31012200101121
42131003000
5131041024
621442024
75316256
oct2350300
91180347
10643264
113aa326
12270314
13196a3b
1412a5d6
15ca8e4
hex9d0c0

643264 has 42 divisors (see below), whose sum is σ = 1404620. Its totient is φ = 291456.

The previous prime is 643243. The next prime is 643273. The reversal of 643264 is 462346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27957 + ... + 27979.

2643264 is an apocalyptic number.

643264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702310).

643264 is an abundant number, since it is smaller than the sum of its proper divisors (761356).

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

643264 is a wasteful number, since it uses less digits than its factorization.

643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 643264 is about 802.0374056115. The cubic root of 643264 is about 86.3236408108.

The spelling of 643264 in words is "six hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 529 608 736 874 1058 1216 1472 1748 2116 3496 4232 6992 8464 10051 13984 16928 20102 27968 33856 40204 80408 160816 321632 643264