Base | Representation |
---|---|
bin | 10001111010110… |
… | …110101010000000 |
3 | 202221201010210000 |
4 | 101322312222000 |
5 | 1103431002041 |
6 | 45455440000 |
7 | 10310256033 |
oct | 2172665200 |
9 | 687633700 |
10 | 300640896 |
11 | 144781a56 |
12 | 84826000 |
13 | 4a39372a |
14 | 2bcdd01a |
15 | 1b5d8bb6 |
hex | 11eb6a80 |
300640896 has 160 divisors (see below), whose sum is σ = 906396480. Its totient is φ = 98910720.
The previous prime is 300640871. The next prime is 300640897. The reversal of 300640896 is 698046003.
300640896 is a `hidden beast` number, since 3 + 0 + 0 + 640 + 8 + 9 + 6 = 666.
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 300640896.
It is not an unprimeable number, because it can be changed into a prime (300640897) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 1109241 + ... + 1109511.
It is an arithmetic number, because the mean of its divisors is an integer number (5664978).
Almost surely, 2300640896 is an apocalyptic number.
300640896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 300640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453198240).
300640896 is an abundant number, since it is smaller than the sum of its proper divisors (605755584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300640896 is a wasteful number, since it uses less digits than its factorization.
300640896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 404 (or 383 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 300640896 is about 17338.9992790818. Note that the first 3 decimals coincide. The cubic root of 300640896 is about 669.9093186844.
Adding to 300640896 its reverse (698046003), we get a palindrome (998686899).
The spelling of 300640896 in words is "three hundred million, six hundred forty thousand, eight hundred ninety-six".
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