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84340 = 2254217
BaseRepresentation
bin10100100101110100
311021200201
4110211310
510144330
61450244
7500614
oct244564
9137621
1084340
1158403
1240984
132c509
1422a44
1519eca
hex14974

84340 has 12 divisors (see below), whose sum is σ = 177156. Its totient is φ = 33728.

The previous prime is 84319. The next prime is 84347. The reversal of 84340 is 4348.

Adding to 84340 its reverse (4348), we get a palindrome (88688).

It can be divided in two parts, 84 and 340, that added together give a palindrome (424).

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 29584 = 234^2 + 172^2 .

It is a super-2 number, since 2×843402 = 14226471200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2089 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (14763).

284340 is an apocalyptic number.

It is an amenable number.

84340 is an abundant number, since it is smaller than the sum of its proper divisors (92816).

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 (88578).

84340 is a wasteful number, since it uses less digits than its factorization.

84340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 84340 is about 290.4134983089. The cubic root of 84340 is about 43.8542006051.

The spelling of 84340 in words is "eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4217 8434 16868 21085 42170 84340