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14214304 = 251347727
BaseRepresentation
bin110110001110…
…010010100000
3222202011100201
4312032102200
512114324204
61224354544
7231551056
oct66162240
928664321
1014214304
118029465
124915a54
132c38b40
141c601d6
1513ab9a4
hexd8e4a0

14214304 has 48 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 6412032.

The previous prime is 14214301. The next prime is 14214311. The reversal of 14214304 is 40341241.

It is not an unprimeable number, because it can be changed into a prime (14214301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19189 + ... + 19915.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 214214304 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 14214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

14214304 is an abundant number, since it is smaller than the sum of its proper divisors (16606304).

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

14214304 is a wasteful number, since it uses less digits than its factorization.

14214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 14214304 is about 3770.1862022982. The cubic root of 14214304 is about 242.2377737243.

Adding to 14214304 its reverse (40341241), we get a palindrome (54555545).

The spelling of 14214304 in words is "fourteen million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 727 752 1222 1454 1504 2444 2908 4888 5816 9451 9776 11632 18902 19552 23264 34169 37804 68338 75608 136676 151216 273352 302432 444197 546704 888394 1093408 1776788 3553576 7107152 14214304