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18434304 = 28347127
BaseRepresentation
bin100011001010…
…0100100000000
31021200120010000
41012110210000
514204344204
61455040000
7312455220
oct106244400
937616100
1018434304
11a450a69
126210000
133a85895
14263c080
151942039
hex1194900

18434304 has 180 divisors, whose sum is σ = 63314944. Its totient is φ = 5225472.

The previous prime is 18434287. The next prime is 18434323. The reversal of 18434304 is 40343481.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145089 + ... + 145215.

Almost surely, 218434304 is an apocalyptic number.

18434304 is a gapful number since it is divisible by the number (14) 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 18434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657472).

18434304 is an abundant number, since it is smaller than the sum of its proper divisors (44880640).

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

18434304 is an equidigital number, since it uses as much as digits as its factorization.

18434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 18434304 is about 4293.5188365722. The cubic root of 18434304 is about 264.1651858772.

Adding to 18434304 its reverse (40343481), we get a palindrome (58777785).

The spelling of 18434304 in words is "eighteen million, four hundred thirty-four thousand, three hundred four".