Search a number
-
+
54234 = 23223131
BaseRepresentation
bin1101001111011010
32202101200
431033122
53213414
61055030
7314055
oct151732
982350
1054234
1137824
1227476
131b8bb
1415a9c
1511109
hexd3da

54234 has 24 divisors (see below), whose sum is σ = 123552. Its totient is φ = 17160.

The previous prime is 54217. The next prime is 54251. The reversal of 54234 is 43245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54217) and next prime (54251).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (5148).

254234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776).

54234 is an abundant number, since it is smaller than the sum of its proper divisors (69318).

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

54234 is a wasteful number, since it uses less digits than its factorization.

54234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 54234 is about 232.8819443409. The cubic root of 54234 is about 37.8521494033.

Adding to 54234 its reverse (43245), we get a palindrome (97479).

It can be divided in two parts, 542 and 34, that added together give a square (576 = 242).

The spelling of 54234 in words is "fifty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 131 138 207 262 393 414 786 1179 2358 3013 6026 9039 18078 27117 54234