| Base | Representation |
|---|---|
| bin | 10010001100101… |
| … | …000111010110100 |
| 3 | 210021111000021200 |
| 4 | 102030220322310 |
| 5 | 1111124200340 |
| 6 | 50143412500 |
| 7 | 10365014565 |
| oct | 2214507264 |
| 9 | 707430250 |
| 10 | 305303220 |
| 11 | 147376912 |
| 12 | 862b4130 |
| 13 | 4b3368c1 |
| 14 | 2c79416c |
| 15 | 1bc0a330 |
| hex | 12328eb4 |
305303220 has 108 divisors (see below), whose sum is σ = 950165580. Its totient is φ = 79349760.
The previous prime is 305303183. The next prime is 305303237. The reversal of 305303220 is 22303503.
It can be written as a sum of positive squares in 6 ways, for example, as 137030436 + 168272784 = 11706^2 + 12972^2 .
It is a super-2 number, since 2×3053032202 = 186420112284736800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 305303193 and 305303202.
It is a congruent number.
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 35 ways as a sum of consecutive naturals, for example, 302076 + ... + 303084.
Almost surely, 2305303220 is an apocalyptic number.
305303220 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 305303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475082790).
305303220 is an abundant number, since it is smaller than the sum of its proper divisors (644862360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305303220 is a wasteful number, since it uses less digits than its factorization.
305303220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1106 (or 1060 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 18.
The square root of 305303220 is about 17472.9282033665. The cubic root of 305303220 is about 673.3545435487.
Adding to 305303220 its reverse (22303503), we get a palindrome (327606723).
The spelling of 305303220 in words is "three hundred five million, three hundred three thousand, two hundred twenty".
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