Search a number
-
+
34236 = 2233317
BaseRepresentation
bin1000010110111100
31201222000
420112330
52043421
6422300
7201546
oct102674
951860
1034236
11237a4
1217990
1312777
14c696
15a226
hex85bc

34236 has 24 divisors (see below), whose sum is σ = 89040. Its totient is φ = 11376.

The previous prime is 34231. The next prime is 34253. The reversal of 34236 is 63243.

34236 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 36 + 4 + 215 + 36 + 6 .

34236 is a Rhonda number in base 16.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231) 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, 51 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (3710).

234236 is an apocalyptic number.

34236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34236 is an abundant number, since it is smaller than the sum of its proper divisors (54804).

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 (44520).

34236 is a wasteful number, since it uses less digits than its factorization.

34236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 34236 is about 185.0297273413. The cubic root of 34236 is about 32.4709009755.

Adding to 34236 its reverse (63243), we get a palindrome (97479).

It can be divided in two parts, 342 and 36, that added together give a triangular number (378 = T27).

The spelling of 34236 in words is "thirty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 317 634 951 1268 1902 2853 3804 5706 8559 11412 17118 34236