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345320505 = 32523557599
BaseRepresentation
bin10100100101010…
…010110000111001
3220001210002200100
4110211102300321
51201400224010
654133230013
711362114215
oct2445226071
9801702610
10345320505
11167a19452
1297792309
135670827a
1433c0d945
15204b22c0
hex14952c39

345320505 has 48 divisors (see below), whose sum is σ = 626745600. Its totient is φ = 175553664.

The previous prime is 345320489. The next prime is 345320533. The reversal of 345320505 is 505023543.

345320505 is a `hidden beast` number, since 3 + 453 + 205 + 0 + 5 = 666.

It is not a de Polignac number, because 345320505 - 24 = 345320489 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576196 + ... + 576794.

It is an arithmetic number, because the mean of its divisors is an integer number (13057200).

Almost surely, 2345320505 is an apocalyptic number.

It is an amenable number.

345320505 is a deficient number, since it is larger than the sum of its proper divisors (281425095).

345320505 is a wasteful number, since it uses less digits than its factorization.

345320505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 345320505 is about 18582.8013227285. The cubic root of 345320505 is about 701.5750282946.

The spelling of 345320505 in words is "three hundred forty-five million, three hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 557 599 1035 1671 1797 2785 2995 5013 5391 8355 8985 12811 13777 25065 26955 38433 41331 64055 68885 115299 123993 192165 206655 333643 576495 619965 1000929 1668215 3002787 5004645 7673789 15013935 23021367 38368945 69064101 115106835 345320505