Search a number
-
+
38364 = 22323139
BaseRepresentation
bin1001010111011100
31221121220
421113130
52211424
6453340
7216564
oct112734
957556
1038364
1126907
121a250
1314601
14dda4
15b579
hex95dc

38364 has 24 divisors (see below), whose sum is σ = 94080. Its totient is φ = 12144.

The previous prime is 38351. The next prime is 38371. The reversal of 38364 is 46383.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

38364 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 7 ways as a sum of consecutive naturals, for example, 207 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

238364 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 38364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

38364 is an abundant number, since it is smaller than the sum of its proper divisors (55716).

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

38364 is a wasteful number, since it uses less digits than its factorization.

38364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 38364 is about 195.8673020185. The cubic root of 38364 is about 33.7267604074.

The spelling of 38364 in words is "thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 556 834 1668 3197 6394 9591 12788 19182 38364