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87340 = 22511397
BaseRepresentation
bin10101010100101100
311102210211
4111110230
510243330
61512204
7512431
oct252454
9142724
1087340
115a690
1242664
13309a6
1423b88
151ad2a
hex1552c

87340 has 24 divisors (see below), whose sum is σ = 200592. Its totient is φ = 31680.

The previous prime is 87337. The next prime is 87359. The reversal of 87340 is 4378.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (8358).

287340 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 87340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296).

87340 is an abundant number, since it is smaller than the sum of its proper divisors (113252).

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

87340 is a wasteful number, since it uses less digits than its factorization.

87340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 87340 is about 295.5334160463. The cubic root of 87340 is about 44.3681236452.

Subtracting from 87340 its product of nonzero digits (672), we obtain a palindrome (86668).

The spelling of 87340 in words is "eighty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 794 1588 1985 3970 4367 7940 8734 17468 21835 43670 87340