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18338040 = 23325719383
BaseRepresentation
bin100010111110…
…1000011111000
31021111200001200
41011331003320
514143304130
61453014200
7311604450
oct105750370
937450050
1018338040
11a395706
126184360
133a50b16
142614d60
151923760
hex117d0f8

18338040 has 192 divisors, whose sum is σ = 71884800. Its totient is φ = 3960576.

The previous prime is 18338011. The next prime is 18338083. The reversal of 18338040 is 4083381.

It is a super-2 number, since 2×183380402 = 672567422083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18337995 and 18338013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47689 + ... + 48071.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 218338040 is an apocalyptic number.

18338040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

18338040 is an abundant number, since it is smaller than the sum of its proper divisors (53546760).

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

18338040 is a wasteful number, since it uses less digits than its factorization.

18338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18338040 is about 4282.2937778719. The cubic root of 18338040 is about 263.7045593047.

The spelling of 18338040 in words is "eighteen million, three hundred thirty-eight thousand, forty".