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230984 = 23132221
BaseRepresentation
bin111000011001001000
3102201211222
4320121020
524342414
64541212
71651265
oct703110
9381758
10230984
111485a6
12b1808
13811a0
146026c
154868e
hex38648

230984 has 16 divisors (see below), whose sum is σ = 466620. Its totient is φ = 106560.

The previous prime is 230977. The next prime is 230999. The reversal of 230984 is 489032.

It can be written as a sum of positive squares in 2 ways, for example, as 228484 + 2500 = 478^2 + 50^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230984.

It is an unprimeable number.

230984 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1007 + ... + 1214.

2230984 is an apocalyptic number.

It is an amenable number.

230984 is an abundant number, since it is smaller than the sum of its proper divisors (235636).

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

230984 is a wasteful number, since it uses less digits than its factorization.

230984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 230984 is about 480.6079483321. The cubic root of 230984 is about 61.3565077307.

The spelling of 230984 in words is "two hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 2221 4442 8884 17768 28873 57746 115492 230984