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236368 = 24111779
BaseRepresentation
bin111001101101010000
3110000020101
4321231100
530030433
65022144
72003056
oct715520
9400211
10236368
11151650
12b4954
1383782
14621d6
154a07d
hex39b50

236368 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 99840.

The previous prime is 236339. The next prime is 236377. The reversal of 236368 is 863632.

236368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 3031.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2236368 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 236368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

236368 is an abundant number, since it is smaller than the sum of its proper divisors (299312).

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

236368 is a wasteful number, since it uses less digits than its factorization.

236368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 236368 is about 486.1769225292. The cubic root of 236368 is about 61.8295700944.

Subtracting 236368 from its reverse (863632), we obtain a square (627264 = 7922).

The spelling of 236368 in words is "two hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 79 88 136 158 176 187 272 316 374 632 748 869 1264 1343 1496 1738 2686 2992 3476 5372 6952 10744 13904 14773 21488 29546 59092 118184 236368