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239328 = 2533277
BaseRepresentation
bin111010011011100000
3110011022000
4322123200
530124303
65044000
72014515
oct723340
9404260
10239328
111538a1
12b6600
1384c1b
146330c
154ada3
hex3a6e0

239328 has 48 divisors (see below), whose sum is σ = 700560. Its totient is φ = 79488.

The previous prime is 239297. The next prime is 239329. The reversal of 239328 is 823932.

239328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239329) by changing a digit.

239328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (14595).

2239328 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 239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350280).

239328 is an abundant number, since it is smaller than the sum of its proper divisors (461232).

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

239328 is a wasteful number, since it uses less digits than its factorization.

239328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 239328 is about 489.2116106553. The cubic root of 239328 is about 62.0865942264.

The spelling of 239328 in words is "two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 277 288 432 554 831 864 1108 1662 2216 2493 3324 4432 4986 6648 7479 8864 9972 13296 14958 19944 26592 29916 39888 59832 79776 119664 239328