Base | Representation |
---|---|
bin | 10101101101110… |
… | …101101101100010 |
3 | 221101120021210200 |
4 | 111231311231202 |
5 | 1221232304033 |
6 | 100053010030 |
7 | 12012551652 |
oct | 2555655542 |
9 | 841507720 |
10 | 364338018 |
11 | 177728600 |
12 | a2023916 |
13 | 5a636435 |
14 | 36560362 |
15 | 21ebc013 |
hex | 15b75b62 |
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".
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