Base | Representation |
---|---|
bin | 111011101000010… |
… | …110101010100100 |
3 | 2120201111022220201 |
4 | 323220112222210 |
5 | 4022102344330 |
6 | 243134440244 |
7 | 33535360123 |
oct | 7350265244 |
9 | 2521438821 |
10 | 1000434340 |
11 | 4737a0144 |
12 | 23b063084 |
13 | 12c35caa9 |
14 | 96c21aba |
15 | 5cc69eca |
hex | 3ba16aa4 |
1000434340 has 48 divisors (see below), whose sum is σ = 2135009520. Its totient is φ = 393707520.
The previous prime is 1000434319. The next prime is 1000434371. The reversal of 1000434340 is 434340001.
1000434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 32353344 + 968080996 = 5688^2 + 31114^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935326 + ... + 936394.
It is an arithmetic number, because the mean of its divisors is an integer number (44479365).
Almost surely, 21000434340 is an apocalyptic number.
1000434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1000434340 is an abundant number, since it is smaller than the sum of its proper divisors (1134575180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000434340 is a wasteful number, since it uses less digits than its factorization.
1000434340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
The square root of 1000434340 is about 31629.6433745308. The cubic root of 1000434340 is about 1000.1447590438.
Adding to 1000434340 its reverse (434340001), we get a palindrome (1434774341).
It can be divided in two parts, 10004 and 34340, that added together give a palindrome (44344).
The spelling of 1000434340 in words is "one billion, four hundred thirty-four thousand, three hundred forty".
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