Base | Representation |
---|---|
bin | 1100001101010000… |
… | …0000000000000000 |
3 | 22110100212200112222 |
4 | 3003110000000000 |
5 | 23202330100000 |
6 | 1301053110212 |
7 | 144126224525 |
oct | 30324000000 |
9 | 8410780488 |
10 | 3276800000 |
11 | 1431739381 |
12 | 775488368 |
13 | 402b4b516 |
14 | 23129b14c |
15 | 142a1da85 |
hex | c3500000 |
3276800000 has 126 divisors (see below), whose sum is σ = 8191471806. Its totient is φ = 1310720000.
The previous prime is 3276799979. The next prime is 3276800017. The reversal of 3276800000 is 86723.
It is a perfect power (a 5-th power), and thus also a powerful number.
It can be written as a sum of positive squares in 3 ways, for example, as 1514143744 + 1762656256 = 38912^2 + 41984^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655359998 + ... + 655360002.
It is an arithmetic number, because the mean of its divisors is an integer number (65011681).
Almost surely, 23276800000 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 3276800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095735903).
3276800000 is an abundant number, since it is smaller than the sum of its proper divisors (4914671806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3276800000 is an frugal number, since it uses more digits than its factorization.
3276800000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 26.
The square root of 3276800000 is about 57243.3402239946. The cubic root of 3276800000 is about 1485.3084267561.
Adding to 3276800000 its reverse (86723), we get a palindrome (3276886723).
The spelling of 3276800000 in words is "three billion, two hundred seventy-six million, eight hundred thousand".
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