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234304 = 267523
BaseRepresentation
bin111001001101000000
3102220101221
4321031000
524444204
65004424
71664050
oct711500
9386357
10234304
11150044
12b3714
1382855
1461560
1549654
hex39340

234304 has 28 divisors (see below), whose sum is σ = 532384. Its totient is φ = 100224.

The previous prime is 234293. The next prime is 234317. The reversal of 234304 is 403432.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable 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, 187 + ... + 709.

2234304 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 234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266192).

234304 is an abundant number, since it is smaller than the sum of its proper divisors (298080).

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

234304 is an equidigital number, since it uses as much as digits as its factorization.

234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234304 is about 484.0495842370. The cubic root of 234304 is about 61.6490754141.

Adding to 234304 its reverse (403432), we get a palindrome (637736).

The spelling of 234304 in words is "two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 523 1046 2092 3661 4184 7322 8368 14644 16736 29288 33472 58576 117152 234304