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23393032 = 2313435231
BaseRepresentation
bin101100100111…
…1001100001000
31122000111012121
41121033030020
521442034112
62153221024
7402560155
oct131171410
948014177
1023393032
1112228593
127a01774
134b00940
14316d22c
1520c1407
hex164f308

23393032 has 32 divisors (see below), whose sum is σ = 48343680. Its totient is φ = 10543680.

The previous prime is 23392987. The next prime is 23393033. The reversal of 23393032 is 23039332.

It is a junction number, because it is equal to n+sod(n) for n = 23392988 and 23393006.

It is not an unprimeable number, because it can be changed into a prime (23393033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857 + ... + 7087.

It is an arithmetic number, because the mean of its divisors is an integer number (1510740).

Almost surely, 223393032 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 23393032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24171840).

23393032 is an abundant number, since it is smaller than the sum of its proper divisors (24950648).

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

23393032 is a wasteful number, since it uses less digits than its factorization.

23393032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

The square root of 23393032 is about 4836.6343669953. The cubic root of 23393032 is about 285.9974570658.

The spelling of 23393032 in words is "twenty-three million, three hundred ninety-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 2236 4472 5231 10462 20924 41848 68003 136006 224933 272012 449866 544024 899732 1799464 2924129 5848258 11696516 23393032