Base | Representation |
---|---|
bin | 1100010101011110… |
… | …1010000010010000 |
3 | 22112202211010112201 |
4 | 3011113222002100 |
5 | 23240144004130 |
6 | 1304324532544 |
7 | 145025460610 |
oct | 30527520220 |
9 | 8482733481 |
10 | 3311313040 |
11 | 144a171552 |
12 | 784b51154 |
13 | 40a043739 |
14 | 235ac2a40 |
15 | 145a89bca |
hex | c55ea090 |
3311313040 has 160 divisors (see below), whose sum is σ = 9534032640. Its totient is φ = 1043546112.
The previous prime is 3311313029. The next prime is 3311313073. The reversal of 3311313040 is 403131133.
It is a junction number, because it is equal to n+sod(n) for n = 3311312999 and 3311313017.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405316 + ... + 413404.
It is an arithmetic number, because the mean of its divisors is an integer number (59587704).
Almost surely, 23311313040 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 3311313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767016320).
3311313040 is an abundant number, since it is smaller than the sum of its proper divisors (6222719600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3311313040 is a wasteful number, since it uses less digits than its factorization.
3311313040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8169 (or 8163 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
The square root of 3311313040 is about 57544.0095926587. The cubic root of 3311313040 is about 1490.5049172384.
Adding to 3311313040 its reverse (403131133), we get a palindrome (3714444173).
The spelling of 3311313040 in words is "three billion, three hundred eleven million, three hundred thirteen thousand, forty".
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