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BaseRepresentation
bin11000000111101
3121221101
43000331
5343344
6133101
751001
oct30075
917841
1012349
119307
127191
13580c
144701
1539d4
hex303d

12349 has 4 divisors (see below), whose sum is σ = 12636. Its totient is φ = 12064.

The previous prime is 12347. The next prime is 12373. The reversal of 12349 is 94321.

It can be divided in two parts, 12 and 349, that added together give a square (361 = 192).

12349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5625 + 6724 = 75^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 12349 - 21 = 12347 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343) 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 3 ways as a sum of consecutive naturals, for example, 64 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (3159).

212349 is an apocalyptic number.

It is an amenable number.

12349 is a deficient number, since it is larger than the sum of its proper divisors (287).

12349 is an equidigital number, since it uses as much as digits as its factorization.

12349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its digits is 216, while the sum is 19.

The square root of 12349 is about 111.1260545507. The cubic root of 12349 is about 23.1141146724.

The spelling of 12349 in words is "twelve thousand, three hundred forty-nine".

Divisors: 1 53 233 12349