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24340 = 2251217
BaseRepresentation
bin101111100010100
31020101111
411330110
51234330
6304404
7130651
oct57424
936344
1024340
1117318
1212104
13b104
148c28
15732a
hex5f14

24340 has 12 divisors (see below), whose sum is σ = 51156. Its totient is φ = 9728.

The previous prime is 24337. The next prime is 24359. The reversal of 24340 is 4342.

24340 = T39 + T40 + ... + T58.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 15876 = 92^2 + 126^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 24340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 589 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (4263).

224340 is an apocalyptic number.

24340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24340 is an abundant number, since it is smaller than the sum of its proper divisors (26816).

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 (25578).

24340 is a wasteful number, since it uses less digits than its factorization.

24340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 24340 is about 156.0128199861. The cubic root of 24340 is about 28.9805656552.

Adding to 24340 its reverse (4342), we get a palindrome (28682).

The spelling of 24340 in words is "twenty-four thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 1217 2434 4868 6085 12170 24340