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238832 = 24112359
BaseRepresentation
bin111010010011110000
3110010121122
4322103300
530120312
65041412
72013206
oct722360
9403548
10238832
11153490
12b6268
1384929
1463076
154ab72
hex3a4f0

238832 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 102080.

The previous prime is 238829. The next prime is 238837.

238832 is nontrivially palindromic in base 10.

238832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238832.

It is not an unprimeable number, because it can be changed into a prime (238837) 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, 4019 + ... + 4077.

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

2238832 is an apocalyptic number.

238832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

238832 is an abundant number, since it is smaller than the sum of its proper divisors (296848).

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

238832 is a wasteful number, since it uses less digits than its factorization.

238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 238832 is about 488.7044096384. The cubic root of 238832 is about 62.0436737029.

The spelling of 238832 in words is "two hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 59 88 92 118 176 184 236 253 368 472 506 649 944 1012 1298 1357 2024 2596 2714 4048 5192 5428 10384 10856 14927 21712 29854 59708 119416 238832