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238328 = 23313
BaseRepresentation
bin111010001011111000
3110002220222
4322023320
530111303
65035212
72011556
oct721370
9402828
10238328
11153072
12b5b08
138462c
1462bd6
154a938
hex3a2f8

238328 has 16 divisors (see below), whose sum is σ = 461760. Its totient is φ = 115320.

The previous prime is 238321. The next prime is 238331. The reversal of 238328 is 823832.

The cubic root of 238328 is 62.

It is a perfect power (a cube), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 238297 and 238306.

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 238328.

It is not an unprimeable number, because it can be changed into a prime (238321) by changing a digit.

238328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7673 + ... + 7703.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

238328 is a Friedman number, since it can be written as (8*8-3+2/2)^3, using all its digits and the basic arithmetic operations.

2238328 is an apocalyptic number.

It is an amenable number.

238328 is a deficient number, since it is larger than the sum of its proper divisors (223432).

238328 is an frugal number, since it uses more digits than its factorization.

238328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 33 counting only the distinct ones).

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

The square root of 238328 is about 488.1884881887.

The spelling of 238328 in words is "two hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 31 62 124 248 961 1922 3844 7688 29791 59582 119164 238328