Search a number
-
+
36331308 = 223313113229
BaseRepresentation
bin1000101010010…
…1111100101100
32112100211012000
42022211330230
533300100213
63334412300
7620545116
oct212457454
975324160
1036331308
1119565282
1210201090
1376b0a20
144b7a3b6
1532c9c73
hex22a5f2c

36331308 has 96 divisors (see below), whose sum is σ = 102782400. Its totient is φ = 11031552.

The previous prime is 36331307. The next prime is 36331327. The reversal of 36331308 is 80313363.

36331308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158538 + ... + 158766.

It is an arithmetic number, because the mean of its divisors is an integer number (1070650).

Almost surely, 236331308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36331308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51391200).

36331308 is an abundant number, since it is smaller than the sum of its proper divisors (66451092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36331308 is a wasteful number, since it uses less digits than its factorization.

36331308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36331308 is about 6027.5457692165. The cubic root of 36331308 is about 331.2025545907.

The spelling of 36331308 in words is "thirty-six million, three hundred thirty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 113 117 156 226 229 234 339 351 452 458 468 678 687 702 916 1017 1356 1374 1404 1469 2034 2061 2748 2938 2977 3051 4068 4122 4407 5876 5954 6102 6183 8244 8814 8931 11908 12204 12366 13221 17628 17862 24732 25877 26442 26793 35724 39663 51754 52884 53586 77631 79326 80379 103508 107172 155262 158652 160758 232893 310524 321516 336401 465786 672802 698679 931572 1009203 1345604 1397358 2018406 2794716 3027609 4036812 6055218 9082827 12110436 18165654 36331308