Base | Representation |
---|---|
bin | 11111111110000100… |
… | …010010000110100000 |
3 | 10021121022212212011000 |
4 | 133332010102012200 |
5 | 1030300242303111 |
6 | 23434133152000 |
7 | 2323443202146 |
oct | 377604220640 |
9 | 107538785130 |
10 | 34327306656 |
11 | 13615962625 |
12 | 67a018b600 |
13 | 3310a55696 |
14 | 193903d596 |
15 | d5d9a3c56 |
hex | 7fe1121a0 |
34327306656 has 96 divisors (see below), whose sum is σ = 100372003200. Its totient is φ = 11413785600.
The previous prime is 34327306597. The next prime is 34327306723. The reversal of 34327306656 is 65660372343.
It is a tau number, because it is divible by the number of its divisors (96).
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, 296925 + ... + 396003.
It is an arithmetic number, because the mean of its divisors is an integer number (1045541700).
Almost surely, 234327306656 is an apocalyptic number.
34327306656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34327306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50186001600).
34327306656 is an abundant number, since it is smaller than the sum of its proper divisors (66044696544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34327306656 is a wasteful number, since it uses less digits than its factorization.
34327306656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99499 (or 99485 counting only the distinct ones).
The product of its (nonzero) digits is 1632960, while the sum is 45.
Adding to 34327306656 its reverse (65660372343), we get a palindrome (99987678999).
The spelling of 34327306656 in words is "thirty-four billion, three hundred twenty-seven million, three hundred six thousand, six hundred fifty-six".
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