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14305664 = 27731531
BaseRepresentation
bin110110100100…
…100110000000
3222220210200102
4312210212000
512130240124
61230341532
7232411322
oct66444600
928823612
1014305664
11809106a
12495a8a8
132c6b5b9
141c85612
1513c8aae
hexda4980

14305664 has 32 divisors (see below), whose sum is σ = 28908840. Its totient is φ = 7050240.

The previous prime is 14305633. The next prime is 14305667. The reversal of 14305664 is 46650341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14305667) 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, 8579 + ... + 10109.

Almost surely, 214305664 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 14305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454420).

14305664 is an abundant number, since it is smaller than the sum of its proper divisors (14603176).

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

14305664 is an equidigital number, since it uses as much as digits as its factorization.

14305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 14305664 is about 3782.2829085091. The cubic root of 14305664 is about 242.7556463669.

The spelling of 14305664 in words is "fourteen million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 1531 2336 3062 4672 6124 9344 12248 24496 48992 97984 111763 195968 223526 447052 894104 1788208 3576416 7152832 14305664