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45342 = 23211229
BaseRepresentation
bin1011000100011110
32022012100
423010132
52422332
6545530
7246123
oct130436
968170
1045342
1131080
12222a6
131783b
141274a
15d67c
hexb11e

45342 has 24 divisors (see below), whose sum is σ = 107640. Its totient is φ = 13680.

The previous prime is 45341. The next prime is 45343. The reversal of 45342 is 24354.

Added to its reverse (24354) it gives a square (69696 = 2642).

It is a happy number.

45342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45341) and next prime (45343).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45342.

It is not an unprimeable number, because it can be changed into a prime (45341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (4485).

245342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820).

45342 is an abundant number, since it is smaller than the sum of its proper divisors (62298).

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

45342 is a wasteful number, since it uses less digits than its factorization.

45342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

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

The square root of 45342 is about 212.9366102858. The cubic root of 45342 is about 35.6588136941.

Adding to 45342 its reverse (24354), we get a palindrome (69696).

The spelling of 45342 in words is "forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 458 687 1374 2061 2519 4122 5038 7557 15114 22671 45342