Base | Representation |
---|---|
bin | 100000000111111111… |
… | …011010101101010000 |
3 | 10022000221011202200000 |
4 | 200013333122231100 |
5 | 1031120403201334 |
6 | 23502441530000 |
7 | 2330534330220 |
oct | 400777325520 |
9 | 108027152600 |
10 | 34493803344 |
11 | 136a0941aa0 |
12 | 6827aa3900 |
13 | 33393ac230 |
14 | 19531c0080 |
15 | d6d3e1299 |
hex | 807fdab50 |
34493803344 has 480 divisors, whose sum is σ = 134428729344. Its totient is φ = 8269309440.
The previous prime is 34493803313. The next prime is 34493803411. The reversal of 34493803344 is 44330839443.
34493803344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 34493803344.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3887457 + ... + 3896319.
Almost surely, 234493803344 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 34493803344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67214364672).
34493803344 is an abundant number, since it is smaller than the sum of its proper divisors (99934926000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34493803344 is a wasteful number, since it uses less digits than its factorization.
34493803344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8917 (or 8899 counting only the distinct ones).
The product of its (nonzero) digits is 1492992, while the sum is 45.
The spelling of 34493803344 in words is "thirty-four billion, four hundred ninety-three million, eight hundred three thousand, three hundred forty-four".
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