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230432 = 2519379
BaseRepresentation
bin111000010000100000
3102201002112
4320100200
524333212
64534452
71646546
oct702040
9381075
10230432
11148144
12b1428
1380b67
145dd96
1548422
hex38420

230432 has 24 divisors (see below), whose sum is σ = 478800. Its totient is φ = 108864.

The previous prime is 230431. The next prime is 230449. The reversal of 230432 is 234032.

230432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2230432 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 230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

230432 is an abundant number, since it is smaller than the sum of its proper divisors (248368).

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

230432 is a wasteful number, since it uses less digits than its factorization.

230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230432 is about 480.0333321760. The cubic root of 230432 is about 61.3075926432.

Adding to 230432 its reverse (234032), we get a palindrome (464464).

Subtracting 230432 from its reverse (234032), we obtain a square (3600 = 602).

The spelling of 230432 in words is "two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 379 608 758 1516 3032 6064 7201 12128 14402 28804 57608 115216 230432