Base | Representation |
---|---|
bin | 100000100011000111… |
… | …111001101110011000 |
3 | 10100012122201210001210 |
4 | 200203013321232120 |
5 | 1033033421344001 |
6 | 24015542343120 |
7 | 2345032463235 |
oct | 404307715630 |
9 | 110178653053 |
10 | 34949012376 |
11 | 13904896303 |
12 | 693442aaa0 |
13 | 33ac7b0ba5 |
14 | 199783678c |
15 | d9835cdd6 |
hex | 8231f9b98 |
34949012376 has 256 divisors, whose sum is σ = 99400089600. Its totient is φ = 10190361600.
The previous prime is 34949012309. The next prime is 34949012377. The reversal of 34949012376 is 67321094943.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34949012377) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27239431 + ... + 27240713.
It is an arithmetic number, because the mean of its divisors is an integer number (388281600).
Almost surely, 234949012376 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 34949012376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49700044800).
34949012376 is an abundant number, since it is smaller than the sum of its proper divisors (64451077224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34949012376 is a wasteful number, since it uses less digits than its factorization.
34949012376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).
The product of its (nonzero) digits is 979776, while the sum is 48.
The spelling of 34949012376 in words is "thirty-four billion, nine hundred forty-nine million, twelve thousand, three hundred seventy-six".
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