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23123364 = 22311283619
BaseRepresentation
bin101100000110…
…1010110100100
31121111210021220
41120031112210
521404421424
62143340340
7400355025
oct130152644
947453256
1023123364
1112063a20
1278b16b0
134a37c84
1430dcc4c
15206b579
hex160d5a4

23123364 has 48 divisors (see below), whose sum is σ = 59162880. Its totient is φ = 6971040.

The previous prime is 23123363. The next prime is 23123381. The reversal of 23123364 is 46332132.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23123363) 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 15 ways as a sum of consecutive naturals, for example, 37047 + ... + 37665.

It is an arithmetic number, because the mean of its divisors is an integer number (1232560).

Almost surely, 223123364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581440).

23123364 is an abundant number, since it is smaller than the sum of its proper divisors (36039516).

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

23123364 is a wasteful number, since it uses less digits than its factorization.

23123364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 23123364 is about 4808.6759092291. The cubic root of 23123364 is about 284.8942420775.

Adding to 23123364 its reverse (46332132), we get a palindrome (69455496).

The spelling of 23123364 in words is "twenty-three million, one hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 619 849 1132 1238 1698 1857 2476 3113 3396 3714 6226 6809 7428 9339 12452 13618 18678 20427 27236 37356 40854 81708 175177 350354 525531 700708 1051062 1926947 2102124 3853894 5780841 7707788 11561682 23123364