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38934 = 2337103
BaseRepresentation
bin1001100000010110
31222102000
421200112
52221214
6500130
7221340
oct114026
958360
1038934
1127285
121a646
131494c
1410290
15b809
hex9816

38934 has 32 divisors (see below), whose sum is σ = 99840. Its totient is φ = 11016.

The previous prime is 38933. The next prime is 38953. The reversal of 38934 is 43983.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38898 and 38907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

238934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49920).

38934 is an abundant number, since it is smaller than the sum of its proper divisors (60906).

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

38934 is a wasteful number, since it uses less digits than its factorization.

38934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38934 is about 197.3170038289. The cubic root of 38934 is about 33.8929737180.

The spelling of 38934 in words is "thirty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 618 721 927 1442 1854 2163 2781 4326 5562 6489 12978 19467 38934