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238032 = 24331929
BaseRepresentation
bin111010000111010000
3110002112000
4322013100
530104112
65034000
72010654
oct720720
9402460
10238032
11152923
12b5900
1384462
1462a64
154a7dc
hex3a1d0

238032 has 80 divisors (see below), whose sum is σ = 744000. Its totient is φ = 72576.

The previous prime is 238031. The next prime is 238037. The reversal of 238032 is 230832.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 237996 and 238014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8194 + ... + 8222.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2238032 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 238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372000).

238032 is an abundant number, since it is smaller than the sum of its proper divisors (505968).

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

238032 is a wasteful number, since it uses less digits than its factorization.

238032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 238032 is about 487.8852324061. The cubic root of 238032 is about 61.9743216591.

Adding to 238032 its reverse (230832), we get a palindrome (468864).

The spelling of 238032 in words is "two hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 72 76 87 108 114 116 144 152 171 174 216 228 232 261 304 342 348 432 456 464 513 522 551 684 696 783 912 1026 1044 1102 1368 1392 1566 1653 2052 2088 2204 2736 3132 3306 4104 4176 4408 4959 6264 6612 8208 8816 9918 12528 13224 14877 19836 26448 29754 39672 59508 79344 119016 238032