Search a number
-
+
8344 = 237149
BaseRepresentation
bin10000010011000
3102110001
42002120
5231334
6102344
733220
oct20230
912401
108344
1162a6
1249b4
133a4b
143080
152714
hex2098

8344 has 16 divisors (see below), whose sum is σ = 18000. Its totient is φ = 3552.

The previous prime is 8329. The next prime is 8353. The reversal of 8344 is 4438.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

8344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

28344 is an apocalyptic number.

It is an amenable number.

8344 is an abundant number, since it is smaller than the sum of its proper divisors (9656).

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 (9000).

8344 is a wasteful number, since it uses less digits than its factorization.

8344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 8344 is about 91.3454979734. The cubic root of 8344 is about 20.2826532066.

It can be divided in two parts, 834 and 4, that added together give a palindrome (838).

The spelling of 8344 in words is "eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 149 298 596 1043 1192 2086 4172 8344