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238374 = 232171941
BaseRepresentation
bin111010001100100110
3110002222200
4322030212
530111444
65035330
72011653
oct721446
9402880
10238374
11153104
12b5b46
1384666
1462c2a
154a969
hex3a326

238374 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 69120.

The previous prime is 238373. The next prime is 238397. The reversal of 238374 is 473832.

238374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5794 + ... + 5834.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2238374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

238374 is an abundant number, since it is smaller than the sum of its proper divisors (351306).

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

238374 is a wasteful number, since it uses less digits than its factorization.

238374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 238374 is about 488.2355988660. The cubic root of 238374 is about 62.0039886438.

The spelling of 238374 in words is "two hundred thirty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 41 51 57 82 102 114 123 153 171 246 306 323 342 369 646 697 738 779 969 1394 1558 1938 2091 2337 2907 4182 4674 5814 6273 7011 12546 13243 14022 26486 39729 79458 119187 238374