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12342 = 2311217
BaseRepresentation
bin11000000110110
3121221010
43000312
5343332
6133050
750661
oct30066
917833
1012342
119300
127186
135805
1446d8
1539cc
hex3036

12342 has 24 divisors (see below), whose sum is σ = 28728. Its totient is φ = 3520.

The previous prime is 12329. The next prime is 12343. The reversal of 12342 is 24321.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343) by changing a digit.

12342 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, 718 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

12342 is an abundant number, since it is smaller than the sum of its proper divisors (16386).

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

12342 is a wasteful number, since it uses less digits than its factorization.

12342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

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

The square root of 12342 is about 111.0945543220. The cubic root of 12342 is about 23.1097464540.

Multiplying 12342 by its product of digits (48), we get a triangular number (592416 = T1088).

Adding to 12342 its reverse (24321), we get a palindrome (36663).

The spelling of 12342 in words is "twelve thousand, three hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 12342