Search a number
-
+
36308 = 2229313
BaseRepresentation
bin1000110111010100
31211210202
420313110
52130213
6440032
7210566
oct106724
954722
1036308
1125308
1219018
13136ac
14d336
15ab58
hex8dd4

36308 has 12 divisors (see below), whose sum is σ = 65940. Its totient is φ = 17472.

The previous prime is 36307. The next prime is 36313. The reversal of 36308 is 80363.

36308 = T107 + T108 + ... + T112.

36308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 29584 = 82^2 + 172^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36307) 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, 41 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (5495).

236308 is an apocalyptic number.

It is an amenable number.

36308 is a deficient number, since it is larger than the sum of its proper divisors (29632).

36308 is a wasteful number, since it uses less digits than its factorization.

36308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36308 is about 190.5465822312. The cubic root of 36308 is about 33.1131712838.

The spelling of 36308 in words is "thirty-six thousand, three hundred eight".

Divisors: 1 2 4 29 58 116 313 626 1252 9077 18154 36308