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311045364 = 223276591873
BaseRepresentation
bin10010100010100…
…010110011110100
3210200021202000200
4102202202303310
51114111422424
650510440500
710464561540
oct2242426364
9720252020
10311045364
1114a638a93
1288203130
134c597416
142d44aa20
151c4918c9
hex128a2cf4

311045364 has 72 divisors (see below), whose sum is σ = 900419520. Its totient is φ = 88687872.

The previous prime is 311045327. The next prime is 311045369. The reversal of 311045364 is 463540113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311045369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165132 + ... + 167004.

Almost surely, 2311045364 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 311045364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450209760).

311045364 is an abundant number, since it is smaller than the sum of its proper divisors (589374156).

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

311045364 is a wasteful number, since it uses less digits than its factorization.

311045364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 311045364 is about 17636.4782198714. The cubic root of 311045364 is about 677.5498356155.

Adding to 311045364 its reverse (463540113), we get a palindrome (774585477).

The spelling of 311045364 in words is "three hundred eleven million, forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 659 1318 1873 1977 2636 3746 3954 4613 5619 5931 7492 7908 9226 11238 11862 13111 13839 16857 18452 22476 23724 26222 27678 33714 39333 41517 52444 55356 67428 78666 83034 117999 157332 166068 235998 471996 1234307 2468614 3702921 4937228 7405842 8640149 11108763 14811684 17280298 22217526 25920447 34560596 44435052 51840894 77761341 103681788 155522682 311045364