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230320 = 2452879
BaseRepresentation
bin111000001110110000
3102200221101
4320032300
524332240
64534144
71646326
oct701660
9380841
10230320
11148052
12b1354
1380aac
145dd16
154839a
hex383b0

230320 has 20 divisors (see below), whose sum is σ = 535680. Its totient is φ = 92096.

The previous prime is 230311. The next prime is 230327. The reversal of 230320 is 23032.

230320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 230297 and 230306.

It is not an unprimeable number, because it can be changed into a prime (230327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1360 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2230320 is an apocalyptic number.

230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320 is an abundant number, since it is smaller than the sum of its proper divisors (305360).

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

230320 is a wasteful number, since it uses less digits than its factorization.

230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230320 is about 479.9166594316. The cubic root of 230320 is about 61.2976583124.

230320 divided by its sum of digits (10) gives a palindrome (23032).

Adding to 230320 its reverse (23032), we get a palindrome (253352).

The spelling of 230320 in words is "two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2879 5758 11516 14395 23032 28790 46064 57580 115160 230320