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38316 = 22331103
BaseRepresentation
bin1001010110101100
31221120010
421112230
52211231
6453220
7216465
oct112654
957503
1038316
1126873
121a210
1314595
14dd6c
15b546
hex95ac

38316 has 24 divisors (see below), whose sum is σ = 93184. Its totient is φ = 12240.

The previous prime is 38303. The next prime is 38317. The reversal of 38316 is 61383.

38316 = 192 + 202 + ... + 492.

38316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38292 and 38301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38317) 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, 321 + ... + 423.

238316 is an apocalyptic number.

It is an amenable number.

38316 is an abundant number, since it is smaller than the sum of its proper divisors (54868).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46592).

38316 is a wasteful number, since it uses less digits than its factorization.

38316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 38316 is about 195.7447317299. The cubic root of 38316 is about 33.7126885332.

Adding to 38316 its reverse (61383), we get a palindrome (99699).

The spelling of 38316 in words is "thirty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 31 62 93 103 124 186 206 309 372 412 618 1236 3193 6386 9579 12772 19158 38316