Base | Representation |
---|---|
bin | 1100011011001110… |
… | …1100011010000000 |
3 | 22121110012220111211 |
4 | 3012303230122000 |
5 | 23312333040000 |
6 | 1310550015504 |
7 | 145440525604 |
oct | 30663543200 |
9 | 8543186454 |
10 | 3335440000 |
11 | 1461850492 |
12 | 791047594 |
13 | 412040449 |
14 | 238da3504 |
15 | 147c537ba |
hex | c6cec680 |
3335440000 has 160 divisors (see below), whose sum is σ = 8386018740. Its totient is φ = 1320960000.
The previous prime is 3335439977. The next prime is 3335440021. The reversal of 3335440000 is 445333.
It can be written as a sum of positive squares in 10 ways, for example, as 25969216 + 3309470784 = 5096^2 + 57528^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×33354400002 = 22250319987200000000, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13839880 + ... + 13840120.
Almost surely, 23335440000 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 3335440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193009370).
3335440000 is an abundant number, since it is smaller than the sum of its proper divisors (5050578740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3335440000 is an equidigital number, since it uses as much as digits as its factorization.
3335440000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 448 (or 421 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 22.
The square root of 3335440000 is about 57753.2683057851. The cubic root of 3335440000 is about 1494.1162101134.
Adding to 3335440000 its reverse (445333), we get a palindrome (3335885333).
The spelling of 3335440000 in words is "three billion, three hundred thirty-five million, four hundred forty thousand".
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