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213342 = 2331237
BaseRepresentation
bin110100000101011110
3101211122120
4310011132
523311332
64323410
71545663
oct640536
9354576
10213342
11136318
12a3566
137614c
1457a6a
154332c
hex3415e

213342 has 24 divisors (see below), whose sum is σ = 452808. Its totient is φ = 66960.

The previous prime is 213337. The next prime is 213349. The reversal of 213342 is 243312.

213342 is nontrivially palindromic in base 5.

213342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213349) by changing a digit.

213342 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 11 ways as a sum of consecutive naturals, for example, 5748 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (18867).

2213342 is an apocalyptic number.

213342 is an abundant number, since it is smaller than the sum of its proper divisors (239466).

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

213342 is a wasteful number, since it uses less digits than its factorization.

213342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 213342 is about 461.8895971983. The cubic root of 213342 is about 59.7528724190.

Adding to 213342 its reverse (243312), we get a palindrome (456654).

It can be divided in two parts, 213 and 342, that added together give a palindrome (555).

The spelling of 213342 in words is "two hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 961 1147 1922 2294 2883 3441 5766 6882 35557 71114 106671 213342