Base | Representation |
---|---|
bin | 11111111111011011… |
… | …010000001101100000 |
3 | 10021122220210011012102 |
4 | 133333123100031200 |
5 | 1030322111333230 |
6 | 23440305545532 |
7 | 2324141036000 |
oct | 377733201540 |
9 | 107586704172 |
10 | 34350105440 |
11 | 136278146a2 |
12 | 67a79452a8 |
13 | 33156a89a1 |
14 | 193c096000 |
15 | d609a9045 |
hex | 7ff6d0360 |
34350105440 has 96 divisors (see below), whose sum is σ = 94638196800. Its totient is φ = 11777160192.
The previous prime is 34350105431. The next prime is 34350105467. The reversal of 34350105440 is 4450105343.
It is a super-3 number, since 3×343501054403 (a number of 33 digits) contains 333 as substring.
It is a congruent number.
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, 258077 + ... + 367836.
It is an arithmetic number, because the mean of its divisors is an integer number (985814550).
Almost surely, 234350105440 is an apocalyptic number.
It is an amenable number.
34350105440 is an abundant number, since it is smaller than the sum of its proper divisors (60288091360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34350105440 is an equidigital number, since it uses as much as digits as its factorization.
34350105440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 625949 (or 625927 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 29.
The spelling of 34350105440 in words is "thirty-four billion, three hundred fifty million, one hundred five thousand, four hundred forty".
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