Base | Representation |
---|---|
bin | 111011111011000… |
… | …101101000111101 |
3 | 2121001201211112122 |
4 | 323323011220331 |
5 | 4024332022331 |
6 | 243432012325 |
7 | 33625202660 |
oct | 7373055075 |
9 | 2531654478 |
10 | 1005345341 |
11 | 476544920 |
12 | 2408310a5 |
13 | 13038c200 |
14 | 9773d6d7 |
15 | 5d3da17b |
hex | 3bec5a3d |
1005345341 has 48 divisors (see below), whose sum is σ = 1416683520. Its totient is φ = 691479360.
The previous prime is 1005345329. The next prime is 1005345343. The reversal of 1005345341 is 1435435001.
It is a de Polignac number, because none of the positive numbers 2k-1005345341 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 1005345341.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1005345343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297620 + ... + 300978.
It is an arithmetic number, because the mean of its divisors is an integer number (29514240).
Almost surely, 21005345341 is an apocalyptic number.
1005345341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1005345341 is a deficient number, since it is larger than the sum of its proper divisors (411338179).
1005345341 is a wasteful number, since it uses less digits than its factorization.
1005345341 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3426 (or 3413 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 26.
The square root of 1005345341 is about 31707.1812212943. The cubic root of 1005345341 is about 1001.7786149865.
The spelling of 1005345341 in words is "one billion, five million, three hundred forty-five thousand, three hundred forty-one".
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