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83384 = 2371489
BaseRepresentation
bin10100010110111000
311020101022
4110112320
510132014
61442012
7465050
oct242670
9136338
1083384
1157714
1240308
132bc52
1422560
1519a8e
hex145b8

83384 has 16 divisors (see below), whose sum is σ = 178800. Its totient is φ = 35712.

The previous prime is 83383. The next prime is 83389. The reversal of 83384 is 48338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83383) 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, 689 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (11175).

283384 is an apocalyptic number.

It is an amenable number.

83384 is an abundant number, since it is smaller than the sum of its proper divisors (95416).

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 (89400).

83384 is a wasteful number, since it uses less digits than its factorization.

83384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 83384 is about 288.7628785007. The cubic root of 83384 is about 43.6878737254.

It can be divided in two parts, 8 and 3384, that multiplied together give a palindrome (27072).

The spelling of 83384 in words is "eighty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 1489 2978 5956 10423 11912 20846 41692 83384