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18374112 = 253263799
BaseRepresentation
bin100011000010…
…1110111100000
31021120111112200
41012011313200
514200432422
61453453200
7312114561
oct106056740
937514480
1018374112
11a40a819
1261a1200
133a64373
142624168
15192e2ac
hex1185de0

18374112 has 36 divisors (see below), whose sum is σ = 52252200. Its totient is φ = 6124608.

The previous prime is 18374101. The next prime is 18374113. The reversal of 18374112 is 21147381.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18374113) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 31612 + ... + 32187.

It is an arithmetic number, because the mean of its divisors is an integer number (1451450).

Almost surely, 218374112 is an apocalyptic number.

18374112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18374112 is an abundant number, since it is smaller than the sum of its proper divisors (33878088).

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

18374112 is a wasteful number, since it uses less digits than its factorization.

18374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63815 (or 63804 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 18374112 is about 4286.5034701957. The cubic root of 18374112 is about 263.8773534992.

The spelling of 18374112 in words is "eighteen million, three hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 63799 127598 191397 255196 382794 510392 574191 765588 1020784 1148382 1531176 2041568 2296764 3062352 4593528 6124704 9187056 18374112