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236328 = 23343229
BaseRepresentation
bin111001101100101000
3110000011220
4321230220
530030303
65022040
72003001
oct715450
9400156
10236328
11151614
12b4920
1383751
14621a8
154a053
hex39b28

236328 has 32 divisors (see below), whose sum is σ = 607200. Its totient is φ = 76608.

The previous prime is 236323. The next prime is 236329. The reversal of 236328 is 823632.

236328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

236328 is a nontrivial binomial coefficient, being equal to C(688, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 24 + 310 + 311 + 62 + 24 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 236298 and 236307.

It is not an unprimeable number, because it can be changed into a prime (236323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (18975).

2236328 is an apocalyptic number.

236328 is the 687-th triangular number and also the 344-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303600).

236328 is an abundant number, since it is smaller than the sum of its proper divisors (370872).

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

236328 is a wasteful number, since it uses less digits than its factorization.

236328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 236328 is about 486.1357835009. The cubic root of 236328 is about 61.8260821401.

The spelling of 236328 in words is "two hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 229 258 344 458 516 687 916 1032 1374 1832 2748 5496 9847 19694 29541 39388 59082 78776 118164 236328