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6344 = 231361
BaseRepresentation
bin1100011001000
322200222
41203020
5200334
645212
724332
oct14310
98628
106344
114848
123808
132b70
142452
151d2e
hex18c8

6344 has 16 divisors (see below), whose sum is σ = 13020. Its totient is φ = 2880.

The previous prime is 6343. The next prime is 6353. The reversal of 6344 is 4436.

It can be divided in two parts, 63 and 44, that multiplied together give a palindrome (2772).

6344 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 4900 + 1444 = 70^2 + 38^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

6344 is an undulating number in base 11.

It is a zygodrome in base 3.

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, 74 + ... + 134.

26344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510).

6344 is an abundant number, since it is smaller than the sum of its proper divisors (6676).

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

6344 is a wasteful number, since it uses less digits than its factorization.

6344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 6344 is about 79.6492310070. The cubic root of 6344 is about 18.5120447495.

The spelling of 6344 in words is "six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344