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19344 = 2431331
BaseRepresentation
bin100101110010000
3222112110
410232100
51104334
6225320
7110253
oct45620
928473
1019344
1113596
12b240
138a60
14709a
155ae9
hex4b90

19344 has 40 divisors (see below), whose sum is σ = 55552. Its totient is φ = 5760.

The previous prime is 19333. The next prime is 19373. The reversal of 19344 is 44391.

It can be divided in two parts, 19 and 344, that added together give a palindrome (363).

It is a self number, because there is not a number n which added to its sum of digits gives 19344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 639.

219344 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 19344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776).

19344 is an abundant number, since it is smaller than the sum of its proper divisors (36208).

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

19344 is a wasteful number, since it uses less digits than its factorization.

19344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 19344 is about 139.0827092057. The cubic root of 19344 is about 26.8440946339.

The spelling of 19344 in words is "nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344