Base | Representation |
---|---|
bin | 1011111011001111… |
… | …0000111110101000 |
3 | 22021002200220002111 |
4 | 2332303300332220 |
5 | 23024004203000 |
6 | 1245353412104 |
7 | 142221046066 |
oct | 27663607650 |
9 | 8232626074 |
10 | 3201241000 |
11 | 13a3020821 |
12 | 75410a034 |
13 | 3c02b4659 |
14 | 22522d036 |
15 | 13b095cba |
hex | becf0fa8 |
3201241000 has 64 divisors (see below), whose sum is σ = 7575282000. Its totient is φ = 1266073600.
The previous prime is 3201240989. The next prime is 3201241003. The reversal of 3201241000 is 1421023.
It can be written as a sum of positive squares in 8 ways, for example, as 235131556 + 2966109444 = 15334^2 + 54462^2 .
It is not an unprimeable number, because it can be changed into a prime (3201241003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71016 + ... + 106984.
Almost surely, 23201241000 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 3201241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787641000).
3201241000 is an abundant number, since it is smaller than the sum of its proper divisors (4374041000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3201241000 is a wasteful number, since it uses less digits than its factorization.
3201241000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36079 (or 36065 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 3201241000 is about 56579.5104255949. The cubic root of 3201241000 is about 1473.8030699647.
Adding to 3201241000 its reverse (1421023), we get a palindrome (3202662023).
The spelling of 3201241000 in words is "three billion, two hundred one million, two hundred forty-one thousand".
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