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3111296 = 27109223
BaseRepresentation
bin1011110111100110000000
312212001220012
423313212000
51244030141
6150404052
735305556
oct13674600
95761805
103111296
111835621
121060628
1384c206
145adbd6
15416ceb
hex2f7980

3111296 has 32 divisors (see below), whose sum is σ = 6283200. Its totient is φ = 1534464.

The previous prime is 3111287. The next prime is 3111299. The reversal of 3111296 is 6921113.

It is a happy number.

3111296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3111299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13841 + ... + 14063.

It is an arithmetic number, because the mean of its divisors is an integer number (196350).

Almost surely, 23111296 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 3111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141600).

3111296 is an abundant number, since it is smaller than the sum of its proper divisors (3171904).

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

3111296 is a wasteful number, since it uses less digits than its factorization.

3111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 3111296 is about 1763.8866176713. The cubic root of 3111296 is about 145.9868631453.

The spelling of 3111296 in words is "three million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 223 436 446 872 892 1744 1784 3488 3568 6976 7136 13952 14272 24307 28544 48614 97228 194456 388912 777824 1555648 3111296