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230382 = 23212799
BaseRepresentation
bin111000001111101110
3102201000200
4320033232
524333012
64534330
71646445
oct701756
9381020
10230382
111480a9
12b13a6
1380b29
145dd5c
15483dc
hex383ee

230382 has 12 divisors (see below), whose sum is σ = 499200. Its totient is φ = 76788.

The previous prime is 230369. The next prime is 230383. The reversal of 230382 is 283032.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12799 = 230382 / (2 + 3 + 0 + 3 + 8 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230383) by changing a digit.

230382 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6382 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (41600).

2230382 is an apocalyptic number.

230382 is an abundant number, since it is smaller than the sum of its proper divisors (268818).

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

230382 is a wasteful number, since it uses less digits than its factorization.

230382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230382 is about 479.9812496338. The cubic root of 230382 is about 61.3031580719.

Adding to 230382 its sum of digits (18), we get a square (230400 = 4802).

Subtracting 230382 from its reverse (283032), we obtain a triangular number (52650 = T324).

The spelling of 230382 in words is "two hundred thirty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 12799 25598 38397 76794 115191 230382