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23328306 = 2323197431
BaseRepresentation
bin101100011111…
…1011000110010
31121220012102100
41120333120302
521433001211
62152001230
7402200361
oct130773062
947805370
1023328306
11121939a1
127990216
134aaa341
1431537d8
1520ac156
hex163f632

23328306 has 48 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 7430400.

The previous prime is 23328299. The next prime is 23328307. The reversal of 23328306 is 60382332.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23328306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53911 + ... + 54341.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 223328306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23328306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

23328306 is an abundant number, since it is smaller than the sum of its proper divisors (29507022).

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

23328306 is a wasteful number, since it uses less digits than its factorization.

23328306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23328306 is about 4829.9385089253. The cubic root of 23328306 is about 285.7334386922.

It can be divided in two parts, 23 and 328306, that added together give a square (328329 = 5732).

The spelling of 23328306 in words is "twenty-three million, three hundred twenty-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 97 186 194 279 291 431 558 582 862 873 1293 1746 2586 3007 3879 6014 7758 9021 13361 18042 26722 27063 40083 41807 54126 80166 83614 120249 125421 240498 250842 376263 752526 1296017 2592034 3888051 7776102 11664153 23328306