Search a number
-
+
14668304 = 2471961113
BaseRepresentation
bin110111111101…
…001000010000
31000121020010112
4313331020100
512223341204
61242220452
7235451510
oct67751020
930536115
1014668304
118309572
124ab4728
133067691
141d3b840
15144b26e
hexdfd210

14668304 has 80 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 5806080.

The previous prime is 14668279. The next prime is 14668327. The reversal of 14668304 is 40386641.

14668304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129752 + ... + 129864.

It is an arithmetic number, because the mean of its divisors is an integer number (438216).

Almost surely, 214668304 is an apocalyptic number.

14668304 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 14668304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

14668304 is an abundant number, since it is smaller than the sum of its proper divisors (20388976).

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

14668304 is a wasteful number, since it uses less digits than its factorization.

14668304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 14668304 is about 3829.9221924211. The cubic root of 14668304 is about 244.7897905378.

The spelling of 14668304 in words is "fourteen million, six hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 113 122 133 152 226 244 266 304 427 452 488 532 791 854 904 976 1064 1159 1582 1708 1808 2128 2147 2318 3164 3416 4294 4636 6328 6832 6893 8113 8588 9272 12656 13786 15029 16226 17176 18544 27572 30058 32452 34352 48251 55144 60116 64904 96502 110288 120232 129808 130967 193004 240464 261934 386008 523868 772016 916769 1047736 1833538 2095472 3667076 7334152 14668304