Base | Representation |
---|---|
bin | 10011000110000… |
… | …000010110110000 |
3 | 211022210000211012 |
4 | 103012000112300 |
5 | 1124001411144 |
6 | 51442010052 |
7 | 10636600004 |
oct | 2306002660 |
9 | 738700735 |
10 | 320341424 |
11 | 154908287 |
12 | 8b346928 |
13 | 514a0750 |
14 | 3078a704 |
15 | 1d1cae9e |
hex | 131805b0 |
320341424 has 80 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 136485888.
The previous prime is 320341423. The next prime is 320341451. The reversal of 320341424 is 424143023.
320341424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a self number, because there is not a number n which added to its sum of digits gives 320341424.
It is not an unprimeable number, because it can be changed into a prime (320341423) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137582 + ... + 139890.
It is an arithmetic number, because the mean of its divisors is an integer number (9022860).
Almost surely, 2320341424 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 320341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).
320341424 is an abundant number, since it is smaller than the sum of its proper divisors (401487376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320341424 is a wasteful number, since it uses less digits than its factorization.
320341424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 320341424 is about 17898.0843667695. The cubic root of 320341424 is about 684.2335533843.
Adding to 320341424 its reverse (424143023), we get a palindrome (744484447).
The spelling of 320341424 in words is "three hundred twenty million, three hundred forty-one thousand, four hundred twenty-four".
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