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23376 = 243487
BaseRepresentation
bin101101101010000
31012001210
411231100
51222001
6300120
7125103
oct55520
935053
1023376
1116621
1211640
13a842
14873a
156dd6
hex5b50

23376 has 20 divisors (see below), whose sum is σ = 60512. Its totient is φ = 7776.

The previous prime is 23371. The next prime is 23399. The reversal of 23376 is 67332.

23376 is nontrivially palindromic in base 9 and base 15.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23376.

It is not an unprimeable number, because it can be changed into a prime (23371) by changing a digit.

23376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196 + ... + 291.

223376 is an apocalyptic number.

It is an amenable number.

23376 is an abundant number, since it is smaller than the sum of its proper divisors (37136).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30256).

23376 is a wasteful number, since it uses less digits than its factorization.

23376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 23376 is about 152.8921188289. The cubic root of 23376 is about 28.5928030532.

Subtracting 23376 from its reverse (67332), we obtain a triangular number (43956 = T296).

The spelling of 23376 in words is "twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 487 974 1461 1948 2922 3896 5844 7792 11688 23376