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16340 = 2251943
BaseRepresentation
bin11111111010100
3211102012
43333110
51010330
6203352
765432
oct37724
924365
1016340
1111305
129558
13758c
145d52
154c95
hex3fd4

16340 has 24 divisors (see below), whose sum is σ = 36960. Its totient is φ = 6048.

The previous prime is 16339. The next prime is 16349. The reversal of 16340 is 4361.

16340 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 4 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

216340 is an apocalyptic number.

16340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

16340 is an abundant number, since it is smaller than the sum of its proper divisors (20620).

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

16340 is a wasteful number, since it uses less digits than its factorization.

16340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 16340 is about 127.8280094502. The cubic root of 16340 is about 25.3756602350.

The spelling of 16340 in words is "sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 16340