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18314016 = 253727253
BaseRepresentation
bin100010111011…
…1001100100000
31021110110002220
41011313030200
514142022031
61452311040
7311444430
oct105671440
937413086
1018314016
11a379656
126172480
133a42bc6
14260a2c0
15191b596
hex1177320

18314016 has 48 divisors (see below), whose sum is σ = 54944064. Its totient is φ = 5232384.

The previous prime is 18313987. The next prime is 18314029. The reversal of 18314016 is 61041381.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 12955 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (1144668).

Almost surely, 218314016 is an apocalyptic number.

18314016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18314016 is an abundant number, since it is smaller than the sum of its proper divisors (36630048).

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

18314016 is a wasteful number, since it uses less digits than its factorization.

18314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27273 (or 27265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18314016 is about 4279.4878198214. The cubic root of 18314016 is about 263.5893523929.

Adding to 18314016 its reverse (61041381), we get a palindrome (79355397).

The spelling of 18314016 in words is "eighteen million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 27253 54506 81759 109012 163518 190771 218024 327036 381542 436048 572313 654072 763084 872096 1144626 1308144 1526168 2289252 2616288 3052336 4578504 6104672 9157008 18314016