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19338 = 2311293
BaseRepresentation
bin100101110001010
3222112020
410232022
51104323
6225310
7110244
oct45612
928466
1019338
1113590
12b236
138a57
147094
155ae3
hex4b8a

19338 has 16 divisors (see below), whose sum is σ = 42336. Its totient is φ = 5840.

The previous prime is 19333. The next prime is 19373. The reversal of 19338 is 83391.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

219338 is an apocalyptic number.

19338 is an abundant number, since it is smaller than the sum of its proper divisors (22998).

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 (21168).

19338 is a wasteful number, since it uses less digits than its factorization.

19338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 648, while the sum is 24.

The square root of 19338 is about 139.0611376338. The cubic root of 19338 is about 26.8413189029.

It can be divided in two parts, 193 and 38, that added together give a triangular number (231 = T21).

The spelling of 19338 in words is "nineteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 293 586 879 1758 3223 6446 9669 19338