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18338814 = 23213109719
BaseRepresentation
bin100010111110…
…1001111111110
31021111201010100
41011331033332
514143320224
61453021530
7311606634
oct105751776
937451110
1018338814
11a39624a
1261848a6
133a51290
142615354
151923ac9
hex117d3fe

18338814 has 48 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 5583168.

The previous prime is 18338809. The next prime is 18338833. The reversal of 18338814 is 41883381.

It is a super-3 number, since 3×183388143 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25147 + ... + 25865.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 218338814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18338814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

18338814 is an abundant number, since it is smaller than the sum of its proper divisors (24904386).

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

18338814 is a wasteful number, since it uses less digits than its factorization.

18338814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 846 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18338814 is about 4282.3841490459. The cubic root of 18338814 is about 263.7082693424.

The spelling of 18338814 in words is "eighteen million, three hundred thirty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 719 981 1417 1438 1962 2157 2834 4251 4314 6471 8502 9347 12753 12942 18694 25506 28041 56082 78371 84123 156742 168246 235113 470226 705339 1018823 1410678 2037646 3056469 6112938 9169407 18338814