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6340 = 225317
BaseRepresentation
bin1100011000100
322200211
41203010
5200330
645204
724325
oct14304
98624
106340
114844
123804
132b69
14244c
151d2a
hex18c4

6340 has 12 divisors (see below), whose sum is σ = 13356. Its totient is φ = 2528.

The previous prime is 6337. The next prime is 6343. The reversal of 6340 is 436.

It is an interprime number because it is at equal distance from previous prime (6337) and next prime (6343).

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 5184 = 34^2 + 72^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6340.

It is not an unprimeable number, because it can be changed into a prime (6343) 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, 139 + ... + 178.

It is an arithmetic number, because the mean of its divisors is an integer number (1113).

26340 is an apocalyptic number.

It is an amenable number.

6340 is an abundant number, since it is smaller than the sum of its proper divisors (7016).

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 (6678).

6340 is a wasteful number, since it uses less digits than its factorization.

6340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 6340 is about 79.6241169496. The cubic root of 6340 is about 18.5081532117.

Adding to 6340 its reverse (436), we get a palindrome (6776).

The spelling of 6340 in words is "six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340