Base | Representation |
---|---|
bin | 100000001110111… |
… | …000000000000000 |
3 | 1101200112222101210 |
4 | 200032320000000 |
5 | 2101414122204 |
6 | 125354330120 |
7 | 16254320544 |
oct | 4016700000 |
9 | 1350488353 |
10 | 540770304 |
11 | 258283808 |
12 | 131129940 |
13 | 8805b439 |
14 | 51b69a24 |
15 | 3271d389 |
hex | 203b8000 |
540770304 has 64 divisors (see below), whose sum is σ = 1442294280. Its totient is φ = 180224000.
The previous prime is 540770249. The next prime is 540770309. The reversal of 540770304 is 403077045.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (540770309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95554 + ... + 101054.
Almost surely, 2540770304 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 540770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721147140).
540770304 is an abundant number, since it is smaller than the sum of its proper divisors (901523976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540770304 is an frugal number, since it uses more digits than its factorization.
540770304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5534 (or 5506 counting only the distinct ones).
The product of its (nonzero) digits is 11760, while the sum is 30.
The square root of 540770304 is about 23254.4684738224. The cubic root of 540770304 is about 814.7123096649.
The spelling of 540770304 in words is "five hundred forty million, seven hundred seventy thousand, three hundred four".
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