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18348 = 22311139
BaseRepresentation
bin100011110101100
3221011120
410132230
51041343
6220540
7104331
oct43654
927146
1018348
1112870
12a750
138475
146988
155683
hex47ac

18348 has 24 divisors (see below), whose sum is σ = 47040. Its totient is φ = 5520.

The previous prime is 18341. The next prime is 18353. The reversal of 18348 is 84381.

18348 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18341) by changing a digit.

18348 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, 63 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

218348 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 18348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520).

18348 is an abundant number, since it is smaller than the sum of its proper divisors (28692).

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

18348 is a wasteful number, since it uses less digits than its factorization.

18348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 18348 is about 135.4547895056. The cubic root of 18348 is about 26.3752292906.

It can be divided in two parts, 183 and 48, that added together give a triangular number (231 = T21).

The spelling of 18348 in words is "eighteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6116 9174 18348