Base | Representation |
---|---|
bin | 111011110111010… |
… | …000110010100000 |
3 | 2120222211212210212 |
4 | 323313100302200 |
5 | 4024102424212 |
6 | 243354313252 |
7 | 33613525022 |
oct | 7367206240 |
9 | 2528755725 |
10 | 1004342432 |
11 | 475a1a375 |
12 | 240428828 |
13 | 1300ca882 |
14 | 9755c012 |
15 | 5d28ce22 |
hex | 3bdd0ca0 |
1004342432 has 72 divisors (see below), whose sum is σ = 2101510656. Its totient is φ = 472408704.
The previous prime is 1004342401. The next prime is 1004342441. The reversal of 1004342432 is 2342434001.
1004342432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 1004342398 and 1004342407.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622113 + ... + 2622495.
It is an arithmetic number, because the mean of its divisors is an integer number (29187648).
Almost surely, 21004342432 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 1004342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050755328).
1004342432 is an abundant number, since it is smaller than the sum of its proper divisors (1097168224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004342432 is a wasteful number, since it uses less digits than its factorization.
1004342432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 658 (or 631 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 1004342432 is about 31691.3621038920. The cubic root of 1004342432 is about 1001.4453871827.
Adding to 1004342432 its reverse (2342434001), we get a palindrome (3346776433).
The spelling of 1004342432 in words is "one billion, four million, three hundred forty-two thousand, four hundred thirty-two".
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