Base | Representation |
---|---|
bin | 11111000011001111… |
… | …001010101010000000 |
3 | 10012001112122221001002 |
4 | 133003033022222000 |
5 | 1021240104212000 |
6 | 23152154231132 |
7 | 2260126623323 |
oct | 370317125200 |
9 | 105045587032 |
10 | 33340304000 |
11 | 13159806953 |
12 | 65657254a8 |
13 | 31b4419443 |
14 | 1883d167ba |
15 | d01edd8d5 |
hex | 7c33caa80 |
33340304000 has 64 divisors (see below), whose sum is σ = 82892370600. Its totient is φ = 13336115200.
The previous prime is 33340303999. The next prime is 33340304009. The reversal of 33340304000 is 40304333.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 13328240704 + 20012063296 = 115448^2 + 141464^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×333403040002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (33340304009) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025885 + ... + 1057884.
Almost surely, 233340304000 is an apocalyptic number.
It is an amenable number.
33340304000 is an abundant number, since it is smaller than the sum of its proper divisors (49552066600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33340304000 is an equidigital number, since it uses as much as digits as its factorization.
33340304000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2083798 (or 2083776 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 20.
Adding to 33340304000 its reverse (40304333), we get a palindrome (33380608333).
The spelling of 33340304000 in words is "thirty-three billion, three hundred forty million, three hundred four thousand".
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