Base | Representation |
---|---|
bin | 111101000100110… |
… | …110110110100000 |
3 | 2122102010022101221 |
4 | 331010312312200 |
5 | 4044304332144 |
6 | 245402304424 |
7 | 34251444142 |
oct | 7504666640 |
9 | 2572108357 |
10 | 1024683424 |
11 | 486452906 |
12 | 2471b8114 |
13 | 1343a026b |
14 | 9a134c92 |
15 | 5ee59d84 |
hex | 3d136da0 |
1024683424 has 48 divisors (see below), whose sum is σ = 2086995456. Its totient is φ = 494726400.
The previous prime is 1024683403. The next prime is 1024683427. The reversal of 1024683424 is 4243864201.
1024683424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10246834242 = 2099952238840727552, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1024683424.
It is not an unprimeable number, because it can be changed into a prime (1024683427) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625134 + ... + 626770.
It is an arithmetic number, because the mean of its divisors is an integer number (43479072).
Almost surely, 21024683424 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 1024683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043497728).
1024683424 is an abundant number, since it is smaller than the sum of its proper divisors (1062312032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024683424 is a wasteful number, since it uses less digits than its factorization.
1024683424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2309 (or 2301 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 34.
The square root of 1024683424 is about 32010.6767188699. The cubic root of 1024683424 is about 1008.1610244981.
The spelling of 1024683424 in words is "one billion, twenty-four million, six hundred eighty-three thousand, four hundred twenty-four".
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