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23321032 = 237616827
BaseRepresentation
bin101100011110…
…1100111001000
31121212211102221
41120331213020
521432233112
62151503424
7402140230
oct130754710
947784387
1023321032
1112189489
127987b74
134aa6c37
143150cc0
1520a9e07
hex163d9c8

23321032 has 32 divisors (see below), whose sum is σ = 50800320. Its totient is φ = 9829440.

The previous prime is 23320987. The next prime is 23321041. The reversal of 23321032 is 23012332.

It is a junction number, because it is equal to n+sod(n) for n = 23320997 and 23321015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 6829.

It is an arithmetic number, because the mean of its divisors is an integer number (1587510).

Almost surely, 223321032 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 23321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25400160).

23321032 is an abundant number, since it is smaller than the sum of its proper divisors (27479288).

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

23321032 is a wasteful number, since it uses less digits than its factorization.

23321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23321032 is about 4829.1854385600. The cubic root of 23321032 is about 285.7037374201.

Adding to 23321032 its reverse (23012332), we get a palindrome (46333364).

It can be divided in two parts, 2332 and 1032, that added together give a square (3364 = 582).

The spelling of 23321032 in words is "twenty-three million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 6827 13654 27308 47789 54616 95578 191156 382312 416447 832894 1665788 2915129 3331576 5830258 11660516 23321032