Base | Representation |
---|---|
bin | 1111010101001… |
… | …1101100010000 |
3 | 11111000002011100 |
4 | 3311103230100 |
5 | 112430242221 |
6 | 10214144400 |
7 | 1410406602 |
oct | 365235420 |
9 | 144002140 |
10 | 64305936 |
11 | 33332002 |
12 | 19652100 |
13 | 10426b66 |
14 | 877d172 |
15 | 59a3926 |
hex | 3d53b10 |
64305936 has 30 divisors (see below), whose sum is σ = 179967710. Its totient is φ = 21435264.
The previous prime is 64305881. The next prime is 64305959. The reversal of 64305936 is 63950346.
64305936 is a `hidden beast` number, since 64 + 3 + 0 + 593 + 6 = 666.
64305936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 45643536 + 18662400 = 6756^2 + 4320^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 64305936.
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 5 ways as a sum of consecutive naturals, for example, 223141 + ... + 223428.
Almost surely, 264305936 is an apocalyptic number.
It is an amenable number.
64305936 is an abundant number, since it is smaller than the sum of its proper divisors (115661774).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64305936 is a wasteful number, since it uses less digits than its factorization.
64305936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446583 (or 446574 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The square root of 64305936 is about 8019.0982036636. The cubic root of 64305936 is about 400.6363537645.
The spelling of 64305936 in words is "sixty-four million, three hundred five thousand, nine hundred thirty-six".
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