Base | Representation |
---|---|
bin | 10010100010011… |
… | …101010111000000 |
3 | 210200020121101212 |
4 | 102202131113000 |
5 | 1114110214130 |
6 | 50510145252 |
7 | 10464436466 |
oct | 2242352700 |
9 | 720217355 |
10 | 311023040 |
11 | 14a623239 |
12 | 881b2228 |
13 | 4c58a203 |
14 | 2d442836 |
15 | 1c489e95 |
hex | 1289d5c0 |
311023040 has 56 divisors (see below), whose sum is σ = 743023152. Its totient is φ = 124006400.
The previous prime is 311023039. The next prime is 311023067. The reversal of 311023040 is 40320113.
311023040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109640 + ... + 112440.
Almost surely, 2311023040 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 311023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371511576).
311023040 is an abundant number, since it is smaller than the sum of its proper divisors (432000112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311023040 is a wasteful number, since it uses less digits than its factorization.
311023040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3165 (or 3155 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 311023040 is about 17635.8453157199. The cubic root of 311023040 is about 677.5336257780.
Adding to 311023040 its reverse (40320113), we get a palindrome (351343153).
The spelling of 311023040 in words is "three hundred eleven million, twenty-three thousand, forty".
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