Search a number
-
+
12314368 = 28114373
BaseRepresentation
bin101110111110…
…011100000000
3212011122010201
4232332130000
511123024433
61115534544
7206445643
oct56763400
925148121
1012314368
116a50a70
12415a454
132722111
1418c7a5a
151133a7d
hexbbe700

12314368 has 36 divisors (see below), whose sum is σ = 26821368. Its totient is φ = 5596160.

The previous prime is 12314363. The next prime is 12314369. The reversal of 12314368 is 86341321.

12314368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314363) 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, 630 + ... + 5002.

It is an arithmetic number, because the mean of its divisors is an integer number (745038).

Almost surely, 212314368 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 12314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410684).

12314368 is an abundant number, since it is smaller than the sum of its proper divisors (14507000).

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

12314368 is an equidigital number, since it uses as much as digits as its factorization.

12314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4386 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 12314368 is about 3509.1833807882. The cubic root of 12314368 is about 230.9248707786.

Adding to 12314368 its reverse (86341321), we get a palindrome (98655689).

The spelling of 12314368 in words is "twelve million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4373 8746 17492 34984 48103 69968 96206 139936 192412 279872 384824 559744 769648 1119488 1539296 3078592 6157184 12314368