Base | Representation |
---|---|
bin | 1100010101111010… |
… | …0011110000100000 |
3 | 22112220020001102200 |
4 | 3011132203300200 |
5 | 23241124403321 |
6 | 1304431413200 |
7 | 145050034536 |
oct | 30536436040 |
9 | 8486201380 |
10 | 3313122336 |
11 | 1450197937 |
12 | 785684200 |
13 | 40a528124 |
14 | 236034156 |
15 | 145ce5d26 |
hex | c57a3c20 |
3313122336 has 72 divisors (see below), whose sum is σ = 9446231340. Its totient is φ = 1101497856.
The previous prime is 3313122289. The next prime is 3313122389. The reversal of 3313122336 is 6332213133.
It is a happy number.
3313122336 is a `hidden beast` number, since 3 + 313 + 12 + 2 + 336 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2932872336 + 380250000 = 54156^2 + 19500^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×33131223362 = 21953559226604193792, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97246 + ... + 126818.
Almost surely, 23313122336 is an apocalyptic number.
3313122336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3313122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723115670).
3313122336 is an abundant number, since it is smaller than the sum of its proper divisors (6133109004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3313122336 is a wasteful number, since it uses less digits than its factorization.
3313122336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29978 (or 29967 counting only the distinct ones).
The product of its digits is 5832, while the sum is 27.
The square root of 3313122336 is about 57559.7284218750. The cubic root of 3313122336 is about 1490.7763376218.
Adding to 3313122336 its reverse (6332213133), we get a palindrome (9645335469).
The spelling of 3313122336 in words is "three billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred thirty-six".
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