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36340 = 2252379
BaseRepresentation
bin1000110111110100
31211211221
420313310
52130330
6440124
7210643
oct106764
954757
1036340
1125337
1219044
1313705
14d35a
15ab7a
hex8df4

36340 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 13728.

The previous prime is 36319. The next prime is 36341. The reversal of 36340 is 4363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36341) 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, 421 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

236340 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 36340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

36340 is an abundant number, since it is smaller than the sum of its proper divisors (44300).

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

36340 is a wasteful number, since it uses less digits than its factorization.

36340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 36340 is about 190.6305327066. The cubic root of 36340 is about 33.1228965082.

The spelling of 36340 in words is "thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 18170 36340