Search a number
-
+
23164344 = 23327194159
BaseRepresentation
bin101100001011…
…1010110111000
31121120212111200
41120113112320
521412224334
62144254200
7400615350
oct130272670
947525450
1023164344
1112091795
127911360
134a50818
14310db60
152078799
hex16175b8

23164344 has 192 divisors, whose sum is σ = 78624000. Its totient is φ = 6013440.

The previous prime is 23164333. The next prime is 23164429. The reversal of 23164344 is 44346132.

23164344 is a `hidden beast` number, since 2 + 316 + 4 + 344 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392587 + ... + 392645.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 223164344 is an apocalyptic number.

23164344 is a gapful number since it is divisible by the number (24) 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 23164344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

23164344 is an abundant number, since it is smaller than the sum of its proper divisors (55459656).

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

23164344 is a wasteful number, since it uses less digits than its factorization.

23164344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 23164344 is about 4812.9350712429. The cubic root of 23164344 is about 285.0624424584.

The spelling of 23164344 in words is "twenty-three million, one hundred sixty-four thousand, three hundred forty-four".