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14530304 = 28211269
BaseRepresentation
bin110111011011…
…011100000000
31000100012211102
4313123130000
512204432204
61235233532
7234335255
oct67333400
930305742
1014530304
118224918
124a488a8
133019919
141d0342c
15142041e
hexddb700

14530304 has 36 divisors (see below), whose sum is σ = 29249640. Its totient is φ = 7203840.

The previous prime is 14530301. The next prime is 14530337. The reversal of 14530304 is 40303541.

14530304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145303043 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53882 + ... + 54150.

It is an arithmetic number, because the mean of its divisors is an integer number (812490).

Almost surely, 214530304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624820).

14530304 is an abundant number, since it is smaller than the sum of its proper divisors (14719336).

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

14530304 is an equidigital number, since it uses as much as digits as its factorization.

14530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 14530304 is about 3811.8635862266. The cubic root of 14530304 is about 244.0197063722.

Adding to 14530304 its reverse (40303541), we get a palindrome (54833845).

The spelling of 14530304 in words is "fourteen million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 211 256 269 422 538 844 1076 1688 2152 3376 4304 6752 8608 13504 17216 27008 34432 54016 56759 68864 113518 227036 454072 908144 1816288 3632576 7265152 14530304