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14129304 = 2337312713
BaseRepresentation
bin110101111001…
…100010011000
3222120211202120
4311321202120
512104114204
61222501240
7231045210
oct65714230
928524676
1014129304
117a80612
124894820
132c09247
141c3b240
1513916d9
hexd79898

14129304 has 64 divisors (see below), whose sum is σ = 41687040. Its totient is φ = 3905280.

The previous prime is 14129303. The next prime is 14129309. The reversal of 14129304 is 40392141.

14129304 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

14129304 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14129303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852 + ... + 6564.

It is an arithmetic number, because the mean of its divisors is an integer number (651360).

Almost surely, 214129304 is an apocalyptic number.

14129304 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 14129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843520).

14129304 is an abundant number, since it is smaller than the sum of its proper divisors (27557736).

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

14129304 is a wasteful number, since it uses less digits than its factorization.

14129304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14129304 is about 3758.8966466238. The cubic root of 14129304 is about 241.7539561540.

The spelling of 14129304 in words is "fourteen million, one hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 2713 5208 5426 8139 10852 16278 18991 21704 32556 37982 56973 65112 75964 84103 113946 151928 168206 227892 252309 336412 455784 504618 588721 672824 1009236 1177442 1766163 2018472 2354884 3532326 4709768 7064652 14129304