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23380032 = 26313171929
BaseRepresentation
bin101100100110…
…0000001000000
31121222211101010
41121030001000
521441130112
62153040520
7402504234
oct131140100
947884333
1023380032
1112219845
1279b6140
134ac7a50
1431685c4
1520bc63c
hex164c040

23380032 has 224 divisors, whose sum is σ = 76809600. Its totient is φ = 6193152.

The previous prime is 23379997. The next prime is 23380057. The reversal of 23380032 is 23008332.

It is a junction number, because it is equal to n+sod(n) for n = 23379990 and 23380008.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 806194 + ... + 806222.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 223380032 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 23380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38404800).

23380032 is an abundant number, since it is smaller than the sum of its proper divisors (53429568).

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

23380032 is a wasteful number, since it uses less digits than its factorization.

23380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23380032 is about 4835.2902705008. The cubic root of 23380032 is about 285.9444689812.

Adding to 23380032 its reverse (23008332), we get a palindrome (46388364).

The spelling of 23380032 in words is "twenty-three million, three hundred eighty thousand, thirty-two".