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2431264 = 25116907
BaseRepresentation
bin1001010001100100100000
311120112001211
421101210200
51110300024
6124035504
726444143
oct11214440
94515054
102431264
111410710
12992b94
13671824
1447405a
15330594
hex251920

2431264 has 24 divisors (see below), whose sum is σ = 5222448. Its totient is φ = 1104960.

The previous prime is 2431241. The next prime is 2431279. The reversal of 2431264 is 4621342.

It is a happy number.

It is a super-2 number, since 2×24312642 = 11822089275392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 3 ways as a sum of consecutive naturals, for example, 3102 + ... + 3805.

It is an arithmetic number, because the mean of its divisors is an integer number (217602).

22431264 is an apocalyptic number.

It is an amenable number.

2431264 is an abundant number, since it is smaller than the sum of its proper divisors (2791184).

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

2431264 is a wasteful number, since it uses less digits than its factorization.

2431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6920 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2431264 is about 1559.2511022924. The cubic root of 2431264 is about 134.4654490376.

The spelling of 2431264 in words is "two million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6907 13814 27628 55256 75977 110512 151954 221024 303908 607816 1215632 2431264