Base | Representation |
---|---|
bin | 10010100110111… |
… | …101100010100000 |
3 | 210202110120120210 |
4 | 102212331202200 |
5 | 1114411002144 |
6 | 50551334120 |
7 | 10510454031 |
oct | 2246754240 |
9 | 722416523 |
10 | 312203424 |
11 | 15025a065 |
12 | 88681340 |
13 | 4c8b1570 |
14 | 2d66ca88 |
15 | 1c61eab9 |
hex | 129bd8a0 |
312203424 has 96 divisors (see below), whose sum is σ = 892019520. Its totient is φ = 95035392.
The previous prime is 312203417. The next prime is 312203431. The reversal of 312203424 is 424302213.
312203424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (312203417) and next prime (312203431).
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 312203424.
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 15 ways as a sum of consecutive naturals, for example, 119767 + ... + 122345.
It is an arithmetic number, because the mean of its divisors is an integer number (9291870).
Almost surely, 2312203424 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 312203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446009760).
312203424 is an abundant number, since it is smaller than the sum of its proper divisors (579816096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312203424 is a wasteful number, since it uses less digits than its factorization.
312203424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 312203424 is about 17669.2791024422. The cubic root of 312203424 is about 678.3896612359.
Adding to 312203424 its reverse (424302213), we get a palindrome (736505637).
The spelling of 312203424 in words is "three hundred twelve million, two hundred three thousand, four hundred twenty-four".
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