Search a number
-
+
19340 = 225967
BaseRepresentation
bin100101110001100
3222112022
410232030
51104330
6225312
7110246
oct45614
928468
1019340
1113592
12b238
138a59
147096
155ae5
hex4b8c

19340 has 12 divisors (see below), whose sum is σ = 40656. Its totient is φ = 7728.

The previous prime is 19333. The next prime is 19373. The reversal of 19340 is 4391.

It is an unprimeable number.

19340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 464 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

219340 is an apocalyptic number.

19340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19340 is an abundant number, since it is smaller than the sum of its proper divisors (21316).

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 (20328).

19340 is a wasteful number, since it uses less digits than its factorization.

19340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 19340 is about 139.0683285295. The cubic root of 19340 is about 26.8422442103.

The spelling of 19340 in words is "nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 967 1934 3868 4835 9670 19340