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12334752 = 253242829
BaseRepresentation
bin101111000011…
…011010100000
3212012200002200
4233003122200
511124203002
61120213200
7206562243
oct57033240
925180080
1012334752
116a65311
12416a200
13272b491
1418d125a
151139b1c
hexbc36a0

12334752 has 36 divisors (see below), whose sum is σ = 35077770. Its totient is φ = 4111488.

The previous prime is 12334733. The next prime is 12334757. The reversal of 12334752 is 25743321.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 3549456 = 2964^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123347522 = 304292213803008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12334757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21127 + ... + 21702.

Almost surely, 212334752 is an apocalyptic number.

12334752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12334752 is an abundant number, since it is smaller than the sum of its proper divisors (22743018).

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

12334752 is a wasteful number, since it uses less digits than its factorization.

12334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42845 (or 42834 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 12334752 is about 3512.0865592978. The cubic root of 12334752 is about 231.0522173515.

The spelling of 12334752 in words is "twelve million, three hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42829 85658 128487 171316 256974 342632 385461 513948 685264 770922 1027896 1370528 1541844 2055792 3083688 4111584 6167376 12334752