Base | Representation |
---|---|
bin | 1100101011011100… |
… | …0110111100100000 |
3 | 22210012011212110111 |
4 | 3022313012330200 |
5 | 23432240202000 |
6 | 1321415341104 |
7 | 150224540155 |
oct | 31267067440 |
9 | 8705155414 |
10 | 3403444000 |
11 | 1497178940 |
12 | 7ab981794 |
13 | 4231605b8 |
14 | 24402622c |
15 | 14dbd7cba |
hex | cadc6f20 |
3403444000 has 96 divisors (see below), whose sum is σ = 9122585472. Its totient is φ = 1237600000.
The previous prime is 3403443997. The next prime is 3403444039. The reversal of 3403444000 is 4443043.
It is a happy number.
3403444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×34034440003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 82675.
It is an arithmetic number, because the mean of its divisors is an integer number (95026932).
Almost surely, 23403444000 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 3403444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561292736).
3403444000 is an abundant number, since it is smaller than the sum of its proper divisors (5719141472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3403444000 is a wasteful number, since it uses less digits than its factorization.
3403444000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77387 (or 77369 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 3403444000 is about 58339.0435300408. The cubic root of 3403444000 is about 1504.2021429296.
Adding to 3403444000 its reverse (4443043), we get a palindrome (3407887043).
The spelling of 3403444000 in words is "three billion, four hundred three million, four hundred forty-four thousand".
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