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238068 = 223217389
BaseRepresentation
bin111010000111110100
3110002120100
4322013310
530104233
65034100
72011035
oct720764
9402510
10238068
11152956
12b5930
138448c
1462a8c
154a813
hex3a1f4

238068 has 36 divisors (see below), whose sum is σ = 638820. Its totient is φ = 74496.

The previous prime is 238039. The next prime is 238079. The reversal of 238068 is 860832.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 116964 = 348^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

238068 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 11 ways as a sum of consecutive naturals, for example, 418 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2238068 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 238068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319410).

238068 is an abundant number, since it is smaller than the sum of its proper divisors (400752).

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

238068 is a wasteful number, since it uses less digits than its factorization.

238068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 238068 is about 487.9221249339. The cubic root of 238068 is about 61.9774458372.

The spelling of 238068 in words is "two hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 389 612 778 1167 1556 2334 3501 4668 6613 7002 13226 14004 19839 26452 39678 59517 79356 119034 238068