Base | Representation |
---|---|
bin | 11111111110111001… |
… | …000001101110101110 |
3 | 10021122021220022122100 |
4 | 133332321001232232 |
5 | 1030312312230410 |
6 | 23435345355530 |
7 | 2324001546645 |
oct | 377671015656 |
9 | 107567808570 |
10 | 34341133230 |
11 | 13622746748 |
12 | 67a4938ba6 |
13 | 3313886ba1 |
14 | 193abdc35c |
15 | d5ecd58c0 |
hex | 7fee41bae |
34341133230 has 96 divisors (see below), whose sum is σ = 91039852800. Its totient is φ = 8978112000.
The previous prime is 34341133207. The next prime is 34341133241. The reversal of 34341133230 is 3233114343.
It is a super-3 number, since 3×343411332303 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 34341133194 and 34341133203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11441730 + ... + 11444730.
It is an arithmetic number, because the mean of its divisors is an integer number (948331800).
Almost surely, 234341133230 is an apocalyptic number.
34341133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 34341133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45519926400).
34341133230 is an abundant number, since it is smaller than the sum of its proper divisors (56698719570).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34341133230 is a wasteful number, since it uses less digits than its factorization.
34341133230 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5466 (or 5463 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 34341133230 its reverse (3233114343), we get a palindrome (37574247573).
It can be divided in two parts, 3434113 and 3230, that added together give a palindrome (3437343).
The spelling of 34341133230 in words is "thirty-four billion, three hundred forty-one million, one hundred thirty-three thousand, two hundred thirty".
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