Base | Representation |
---|---|
bin | 1100011100101010… |
… | …0011000100000000 |
3 | 22121212111021200012 |
4 | 3013022203010000 |
5 | 23320401243130 |
6 | 1311322244052 |
7 | 145542460313 |
oct | 30712430400 |
9 | 8555437605 |
10 | 3341431040 |
11 | 1465172662 |
12 | 793056628 |
13 | 41335a33c |
14 | 239ac297a |
15 | 148538995 |
hex | c72a3100 |
3341431040 has 72 divisors (see below), whose sum is σ = 8279855640. Its totient is φ = 1290469376.
The previous prime is 3341431001. The next prime is 3341431097. The reversal of 3341431040 is 401341433.
It can be written as a sum of positive squares in 4 ways, for example, as 950612224 + 2390818816 = 30832^2 + 48896^2 .
It is a super-2 number, since 2×33414310402 = 22330322790150963200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 3341430997 and 3341431015.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 7889 + ... + 82128.
It is an arithmetic number, because the mean of its divisors is an integer number (114997995).
Almost surely, 23341431040 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 3341431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139927820).
3341431040 is an abundant number, since it is smaller than the sum of its proper divisors (4938424600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3341431040 is an equidigital number, since it uses as much as digits as its factorization.
3341431040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90067 (or 90053 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
The square root of 3341431040 is about 57805.1125766571. The cubic root of 3341431040 is about 1495.0102406803.
Adding to 3341431040 its reverse (401341433), we get a palindrome (3742772473).
The spelling of 3341431040 in words is "three billion, three hundred forty-one million, four hundred thirty-one thousand, forty".
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