Base | Representation |
---|---|
bin | 10010000100101… |
… | …101010101010000 |
3 | 210010120101022212 |
4 | 102010231111100 |
5 | 1110111133034 |
6 | 50031051252 |
7 | 10341235256 |
oct | 2204552520 |
9 | 703511285 |
10 | 303224144 |
11 | 146186873 |
12 | 85670b28 |
13 | 4aa89492 |
14 | 2c3b25d6 |
15 | 1b9492ce |
hex | 1212d550 |
303224144 has 40 divisors (see below), whose sum is σ = 608913408. Its totient is φ = 146125440.
The previous prime is 303224143. The next prime is 303224147. The reversal of 303224144 is 441422303.
303224144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (303224143) 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 7 ways as a sum of consecutive naturals, for example, 136289 + ... + 138495.
Almost surely, 2303224144 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 303224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304456704).
303224144 is an abundant number, since it is smaller than the sum of its proper divisors (305689264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
303224144 is a wasteful number, since it uses less digits than its factorization.
303224144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2523 (or 2517 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 303224144 is about 17413.3323634507. The cubic root of 303224144 is about 671.8225745689.
Adding to 303224144 its reverse (441422303), we get a palindrome (744646447).
The spelling of 303224144 in words is "three hundred three million, two hundred twenty-four thousand, one hundred forty-four".
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