| Base | Representation |
|---|---|
| bin | 111011100111110… |
| … | …111001010100000 |
| 3 | 2120201020202220220 |
| 4 | 323213313022200 |
| 5 | 4022034232222 |
| 6 | 243132003040 |
| 7 | 33534312006 |
| oct | 7347671240 |
| 9 | 2521222826 |
| 10 | 1000305312 |
| 11 | 473712206 |
| 12 | 23b000480 |
| 13 | 12c316146 |
| 14 | 96bcaa76 |
| 15 | 5cc41b5c |
| hex | 3b9f72a0 |
1000305312 has 96 divisors (see below), whose sum is σ = 2773209600. Its totient is φ = 314834688.
The previous prime is 1000305307. The next prime is 1000305329. The reversal of 1000305312 is 2135030001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10003053122 = 2001221434430834688, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1000305291 and 1000305300.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690573 + ... + 692019.
It is an arithmetic number, because the mean of its divisors is an integer number (28887600).
Almost surely, 21000305312 is an apocalyptic number.
1000305312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1000305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386604800).
1000305312 is an abundant number, since it is smaller than the sum of its proper divisors (1772904288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000305312 is a wasteful number, since it uses less digits than its factorization.
1000305312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1858 (or 1850 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 15.
The square root of 1000305312 is about 31627.6036398586. The cubic root of 1000305312 is about 1000.1017603112.
Adding to 1000305312 its reverse (2135030001), we get a palindrome (3135335313).
The spelling of 1000305312 in words is "one billion, three hundred five thousand, three hundred twelve".
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