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34218 = 2321901
BaseRepresentation
bin1000010110101010
31201221100
420112222
52043333
6422230
7201522
oct102652
951840
1034218
1123788
1217976
1312762
14c682
15a213
hex85aa

34218 has 12 divisors (see below), whose sum is σ = 74178. Its totient is φ = 11400.

The previous prime is 34217. The next prime is 34231. The reversal of 34218 is 81243.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 729 = 183^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1901 = 34218 / (3 + 4 + 2 + 1 + 8).

It is a Curzon number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 34218.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34218.

It is not an unprimeable number, because it can be changed into a prime (34211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 933 + ... + 968.

234218 is an apocalyptic number.

34218 is an abundant number, since it is smaller than the sum of its proper divisors (39960).

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

34218 is a wasteful number, since it uses less digits than its factorization.

34218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1906 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34218 is about 184.9810801136. The cubic root of 34218 is about 32.4652093188.

It can be divided in two parts, 34 and 218, that added together give a palindrome (252).

The spelling of 34218 in words is "thirty-four thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 1901 3802 5703 11406 17109 34218