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23352 = 2337139
BaseRepresentation
bin101101100111000
31012000220
411230320
51221402
6300040
7125040
oct55470
935026
1023352
11165aa
1211620
13a824
148720
156dbc
hex5b38

23352 has 32 divisors (see below), whose sum is σ = 67200. Its totient is φ = 6624.

The previous prime is 23339. The next prime is 23357. The reversal of 23352 is 25332.

23352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

223352 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 23352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

23352 is an abundant number, since it is smaller than the sum of its proper divisors (43848).

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

23352 is a wasteful number, since it uses less digits than its factorization.

23352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 23352 is about 152.8136119591. The cubic root of 23352 is about 28.5830143489.

Adding to 23352 its product of digits (180), we get a palindrome (23532).

Adding to 23352 its reverse (25332), we get a palindrome (48684).

The spelling of 23352 in words is "twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2919 3336 3892 5838 7784 11676 23352