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39340 = 2257281
BaseRepresentation
bin1001100110101100
31222222001
421212230
52224330
6502044
7222460
oct114654
958861
1039340
1127614
121a924
1314ba2
14104a0
15b9ca
hex99ac

39340 has 24 divisors (see below), whose sum is σ = 94752. Its totient is φ = 13440.

The previous prime is 39323. The next prime is 39341. The reversal of 39340 is 4393.

39340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

39340 is a nontrivial binomial coefficient, being equal to C(281, 2).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (39341) 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, 1 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (3948).

239340 is an apocalyptic number.

39340 is the 280-th triangular number.

39340 is the 94-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376).

39340 is an abundant number, since it is smaller than the sum of its proper divisors (55412).

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

39340 is a wasteful number, since it uses less digits than its factorization.

39340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 39340 is about 198.3431370126. The cubic root of 39340 is about 34.0103774551.

The spelling of 39340 in words is "thirty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3934 5620 7868 9835 19670 39340