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2005345341 = 321721129469
BaseRepresentation
bin111011110000111…
…0010010000111101
312011202102002122200
41313201302100331
513101332022331
6530553302113
7100460103606
oct16741622075
95152362580
102005345341
11939a686aa
1247b704939
1325c5c939c
1415048adad
15bb0bb5e6
hex7787243d

2005345341 has 12 divisors (see below), whose sum is σ = 2898315420. Its totient is φ = 1336109760.

The previous prime is 2005345337. The next prime is 2005345343. The reversal of 2005345341 is 1435435002.

2005345341 is a `hidden beast` number, since 200 + 5 + 3 + 453 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 771228441 + 1234116900 = 27771^2 + 35130^2 .

It is not a de Polignac number, because 2005345341 - 22 = 2005345337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005345343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49246 + ... + 80223.

It is an arithmetic number, because the mean of its divisors is an integer number (241526285).

Almost surely, 22005345341 is an apocalyptic number.

It is an amenable number.

2005345341 is a deficient number, since it is larger than the sum of its proper divisors (892970079).

2005345341 is a wasteful number, since it uses less digits than its factorization.

2005345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131196 (or 131193 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2005345341 is about 44781.0824009425. The cubic root of 2005345341 is about 1261.0425026703.

The spelling of 2005345341 in words is "two billion, five million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 1721 5163 15489 129469 388407 1165221 222816149 668448447 2005345341