Search a number
-
+
23328324 = 223489809
BaseRepresentation
bin101100011111…
…1011001000100
31121220012110000
41120333121010
521433001244
62152001300
7402200415
oct130773104
947805400
1023328324
1112193a08
127990230
134aaa356
14315380c
1520ac169
hex163f644

23328324 has 60 divisors (see below), whose sum is σ = 61746300. Its totient is φ = 7679232.

The previous prime is 23328323. The next prime is 23328341. The reversal of 23328324 is 42382332.

23328324 is a `hidden beast` number, since 2 + 332 + 8 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 10497600 = 3582^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328323) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28432 + ... + 29240.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 223328324 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 23328324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873150).

23328324 is an abundant number, since it is smaller than the sum of its proper divisors (38417976).

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

23328324 is a wasteful number, since it uses less digits than its factorization.

23328324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

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

The square root of 23328324 is about 4829.9403723027. The cubic root of 23328324 is about 285.7335121824.

The spelling of 23328324 in words is "twenty-three million, three hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 809 1068 1602 1618 2403 2427 3204 3236 4806 4854 7209 7281 9612 9708 14418 14562 21843 28836 29124 43686 65529 72001 87372 131058 144002 216003 262116 288004 432006 648009 864012 1296018 1944027 2592036 3888054 5832081 7776108 11664162 23328324