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12340 = 225617
BaseRepresentation
bin11000000110100
3121221001
43000310
5343330
6133044
750656
oct30064
917831
1012340
1192a9
127184
135803
1446d6
1539ca
hex3034

12340 has 12 divisors (see below), whose sum is σ = 25956. Its totient is φ = 4928.

The previous prime is 12329. The next prime is 12343. The reversal of 12340 is 4321.

12340 = T2 + T3 + ... + T41.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 10404 = 44^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (2163).

212340 is an apocalyptic number.

12340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340 is an abundant number, since it is smaller than the sum of its proper divisors (13616).

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 (12978).

12340 is a wasteful number, since it uses less digits than its factorization.

12340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12340 is about 111.0855526160. The cubic root of 12340 is about 23.1084980883.

Adding to 12340 its reverse (4321), we get a palindrome (16661).

The spelling of 12340 in words is "twelve thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340