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216342 = 232717101
BaseRepresentation
bin110100110100010110
3101222202200
4310310112
523410332
64345330
71560510
oct646426
9358680
10216342
111385a5
12a5246
1377619
1458bb0
154417c
hex34d16

216342 has 48 divisors (see below), whose sum is σ = 572832. Its totient is φ = 57600.

The previous prime is 216329. The next prime is 216347. The reversal of 216342 is 243612.

It is a happy number.

216342 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216347) by changing a digit.

216342 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 23 ways as a sum of consecutive naturals, for example, 2092 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (11934).

2216342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286416).

216342 is an abundant number, since it is smaller than the sum of its proper divisors (356490).

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

216342 is a wasteful number, since it uses less digits than its factorization.

216342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 216342 is about 465.1257894377. The cubic root of 216342 is about 60.0316499684.

Adding to 216342 its reverse (243612), we get a palindrome (459954).

The spelling of 216342 in words is "two hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 303 306 357 606 707 714 909 1071 1414 1717 1818 2121 2142 3434 4242 5151 6363 10302 12019 12726 15453 24038 30906 36057 72114 108171 216342