Search a number
-
+
364338018 = 2321124092
BaseRepresentation
bin10101101101110…
…101101101100010
3221101120021210200
4111231311231202
51221232304033
6100053010030
712012551652
oct2555655542
9841507720
10364338018
11177728600
12a2023916
135a636435
1436560362
1521ebc013
hex15b75b62

364338018 has 54 divisors (see below), whose sum is σ = 869813217. Its totient is φ = 110135520.

The previous prime is 364338017. The next prime is 364338061. The reversal of 364338018 is 810833463.

It is a happy number.

364338018 is a `hidden beast` number, since 3 + 643 + 3 + 8 + 0 + 1 + 8 = 666.

364338018 is digitally balanced in base 3, 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 284360769 + 79977249 = 16863^2 + 8943^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13497.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (364338017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 890598 + ... + 891006.

Almost surely, 2364338018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364338018

364338018 is an abundant number, since it is smaller than the sum of its proper divisors (505475199).

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

364338018 is a wasteful number, since it uses less digits than its factorization.

364338018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 364338018 is about 19087.6404513497. The cubic root of 364338018 is about 714.2246427290.

Multiplying 364338018 by its product of nonzero digits (41472), we get a square (15109826282496 = 38871362).

The spelling of 364338018 in words is "three hundred sixty-four million, three hundred thirty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 409 726 818 1089 1227 2178 2454 3681 4499 7362 8998 13497 26994 40491 49489 80982 98978 148467 167281 296934 334562 445401 501843 890802 1003686 1505529 1840091 3011058 3680182 5520273 11040546 16560819 20241001 33121638 40482002 60723003 121446006 182169009 364338018