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230364 = 223679
BaseRepresentation
bin111000001111011100
3102201000000
4320033130
524332424
64534300
71646421
oct701734
9381000
10230364
11148092
12b1390
1380b14
145dd48
15483c9
hex383dc

230364 has 42 divisors (see below), whose sum is σ = 612080. Its totient is φ = 75816.

The previous prime is 230357. The next prime is 230369. The reversal of 230364 is 463032.

Adding to 230364 its reverse (463032), we get a palindrome (693396).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230364.

It is not an unprimeable number, because it can be changed into a prime (230369) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2877 + ... + 2955.

230364 is a Friedman number, since it can be written as (320-4)*3^6, using all its digits and the basic arithmetic operations.

2230364 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 230364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306040).

230364 is an abundant number, since it is smaller than the sum of its proper divisors (381716).

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

230364 is an equidigital number, since it uses as much as digits as its factorization.

230364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230364 is about 479.9624985350. The cubic root of 230364 is about 61.3015614692.

The spelling of 230364 in words is "two hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 729 948 972 1422 1458 2133 2844 2916 4266 6399 8532 12798 19197 25596 38394 57591 76788 115182 230364