Search a number
BaseRepresentation
bin100011110110010
3221011210
410132302
51041404
6220550
7104340
oct43662
927153
1018354
1112876
12a756
13847b
146990
155689
hex47b2

18354 has 32 divisors (see below), whose sum is σ = 46080. Its totient is φ = 4752.

The previous prime is 18353. The next prime is 18367. The reversal of 18354 is 45381.

18354 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 18354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18353) 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, 787 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

218354 is an apocalyptic number.

18354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040).

18354 is an abundant number, since it is smaller than the sum of its proper divisors (27726).

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

18354 is a wasteful number, since it uses less digits than its factorization.

18354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54.

The product of its digits is 480, while the sum is 21.

The square root of 18354 is about 135.4769353063. The cubic root of 18354 is about 26.3781039750.

The spelling of 18354 in words is "eighteen thousand, three hundred fifty-four".