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230328 = 23327457
BaseRepresentation
bin111000001110111000
3102200221200
4320032320
524332303
64534200
71646340
oct701670
9380850
10230328
1114805a
12b1360
1380ab7
145dd20
15483a3
hex383b8

230328 has 48 divisors (see below), whose sum is σ = 714480. Its totient is φ = 65664.

The previous prime is 230327. The next prime is 230339. The reversal of 230328 is 823032.

230328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230328.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 276 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (14885).

2230328 is an apocalyptic number.

230328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357240).

230328 is an abundant number, since it is smaller than the sum of its proper divisors (484152).

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

230328 is a wasteful number, since it uses less digits than its factorization.

230328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

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

The square root of 230328 is about 479.9249941397. The cubic root of 230328 is about 61.2983680142.

Subtracting 230328 from its reverse (823032), we obtain a cube (592704 = 843).

The spelling of 230328 in words is "two hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 457 504 914 1371 1828 2742 3199 3656 4113 5484 6398 8226 9597 10968 12796 16452 19194 25592 28791 32904 38388 57582 76776 115164 230328