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23368 = 2323127
BaseRepresentation
bin101101101001000
31012001111
411231020
51221433
6300104
7125062
oct55510
935044
1023368
1116614
1211634
13a837
148732
156dcd
hex5b48

23368 has 16 divisors (see below), whose sum is σ = 46080. Its totient is φ = 11088.

The previous prime is 23357. The next prime is 23369. The reversal of 23368 is 86332.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 14.

It is not an unprimeable number, because it can be changed into a prime (23369) by changing a digit.

23368 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 121 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

223368 is an apocalyptic number.

It is an amenable number.

23368 is a deficient number, since it is larger than the sum of its proper divisors (22712).

23368 is a wasteful number, since it uses less digits than its factorization.

23368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 23368 is about 152.8659543522. The cubic root of 23368 is about 28.5895408966.

It can be divided in two parts, 23 and 368, that multiplied together give a square (8464 = 922).

The spelling of 23368 in words is "twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 23 46 92 127 184 254 508 1016 2921 5842 11684 23368