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34212 = 2232851
BaseRepresentation
bin1000010110100100
31201221010
420112210
52043322
6422220
7201513
oct102644
951833
1034212
1123782
1217970
1312759
14c67a
15a20c
hex85a4

34212 has 12 divisors (see below), whose sum is σ = 79856. Its totient is φ = 11400.

The previous prime is 34211. The next prime is 34213. The reversal of 34212 is 21243.

It is an interprime number because it is at equal distance from previous prime (34211) and next prime (34213).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2851 = 34212 / (3 + 4 + 2 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1414 + ... + 1437.

234212 is an apocalyptic number.

It is an amenable number.

34212 is an abundant number, since it is smaller than the sum of its proper divisors (45644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39928).

34212 is a wasteful number, since it uses less digits than its factorization.

34212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2856 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 34212 is about 184.9648615278. The cubic root of 34212 is about 32.4633116563.

Adding to 34212 its reverse (21243), we get a palindrome (55455).

The spelling of 34212 in words is "thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 2851 5702 8553 11404 17106 34212