Search a number
-
+
36834 = 237877
BaseRepresentation
bin1000111111100010
31212112020
420333202
52134314
6442310
7212250
oct107742
955466
1036834
1125746
1219396
13139c5
14d5d0
15ada9
hex8fe2

36834 has 16 divisors (see below), whose sum is σ = 84288. Its totient is φ = 10512.

The previous prime is 36833. The next prime is 36847. The reversal of 36834 is 43863.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (36833) 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, 397 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (5268).

236834 is an apocalyptic number.

36834 is an abundant number, since it is smaller than the sum of its proper divisors (47454).

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 (42144).

36834 is a wasteful number, since it uses less digits than its factorization.

36834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its digits is 1728, while the sum is 24.

The square root of 36834 is about 191.9218590990. The cubic root of 36834 is about 33.2723105771.

It can be divided in two parts, 3 and 6834, that multiplied together give a palindrome (20502).

The spelling of 36834 in words is "thirty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 877 1754 2631 5262 6139 12278 18417 36834