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238364 = 2278513
BaseRepresentation
bin111010001100011100
3110002222022
4322030130
530111424
65035312
72011640
oct721434
9402868
10238364
111530a5
12b5b38
1384659
1462c20
154a95e
hex3a31c

238364 has 12 divisors (see below), whose sum is σ = 476784. Its totient is φ = 102144.

The previous prime is 238363. The next prime is 238369. The reversal of 238364 is 463832.

238364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

238364 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 238364.

It is not an unprimeable number, because it can be changed into a prime (238361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4229 + ... + 4284.

It is an arithmetic number, because the mean of its divisors is an integer number (39732).

238364 is a Friedman number, since it can be written as 62^3+(8+4)*3, using all its digits and the basic arithmetic operations.

2238364 is an apocalyptic number.

It is an amenable number.

238364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

238364 is a wasteful number, since it uses less digits than its factorization.

238364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8522 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 238364 is about 488.2253578011. The cubic root of 238364 is about 62.0031215910.

The spelling of 238364 in words is "two hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 8513 17026 34052 59591 119182 238364