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18338058 = 2324492269
BaseRepresentation
bin100010111110…
…1000100001010
31021111200002100
41011331010022
514143304213
61453014230
7311604504
oct105750412
937450070
1018338058
11a395722
126184376
133a50b2b
142614d74
151923773
hex117d10a

18338058 has 24 divisors (see below), whose sum is σ = 39838500. Its totient is φ = 6096384.

The previous prime is 18338011. The next prime is 18338083. The reversal of 18338058 is 85083381.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17363889 + 974169 = 4167^2 + 987^2 .

It is a super-3 number, since 3×183380583 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948 + ... + 9216.

Almost surely, 218338058 is an apocalyptic number.

18338058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

18338058 is an abundant number, since it is smaller than the sum of its proper divisors (21500442).

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

18338058 is a wasteful number, since it uses less digits than its factorization.

18338058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 18338058 is about 4282.2958795487. The cubic root of 18338058 is about 263.7046455859.

The spelling of 18338058 in words is "eighteen million, three hundred thirty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 449 898 1347 2269 2694 4041 4538 6807 8082 13614 20421 40842 1018781 2037562 3056343 6112686 9169029 18338058