| Base | Representation |
|---|---|
| bin | 10010001100010… |
| … | …000011111000100 |
| 3 | 210021021221000000 |
| 4 | 102030100133010 |
| 5 | 1111113000030 |
| 6 | 50141321300 |
| 7 | 10364120034 |
| oct | 2214203704 |
| 9 | 707257000 |
| 10 | 305203140 |
| 11 | 147308700 |
| 12 | 86266230 |
| 13 | 4b300198 |
| 14 | 2c7698c4 |
| 15 | 1bbda860 |
| hex | 123107c4 |
305203140 has 252 divisors, whose sum is σ = 1062356652. Its totient is φ = 73560960.
The previous prime is 305203117. The next prime is 305203141. The reversal of 305203140 is 41302503.
305203140 is a `hidden beast` number, since 3 + 0 + 520 + 3 + 140 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 101969604 = 14256^2 + 10098^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (305203141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1764094 + ... + 1764266.
It is an arithmetic number, because the mean of its divisors is an integer number (4215701).
Almost surely, 2305203140 is an apocalyptic number.
305203140 is a gapful number since it is divisible by the number (30) 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 305203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531178326).
305203140 is an abundant number, since it is smaller than the sum of its proper divisors (757153512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305203140 is a wasteful number, since it uses less digits than its factorization.
305203140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 194 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 305203140 is about 17470.0641097851. The cubic root of 305203140 is about 673.2809591216.
Adding to 305203140 its reverse (41302503), we get a palindrome (346505643).
The spelling of 305203140 in words is "three hundred five million, two hundred three thousand, one hundred forty".
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