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3354643665 = 325372014801
BaseRepresentation
bin1100011111110011…
…1100110011010001
322122210100112222200
43013330330303101
523332242044130
61312513353413
7146063000142
oct30774746321
98583315880
103354643665
11147167748a
12797568869
13416005269
1423b761ac9
15149798760
hexc7f3ccd1

3354643665 has 24 divisors (see below), whose sum is σ = 5971873128. Its totient is φ = 1740787200.

The previous prime is 3354643661. The next prime is 3354643673. The reversal of 3354643665 is 5663464533.

3354643665 is a `hidden beast` number, since 3 + 3 + 546 + 43 + 6 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1632725649 + 1721918016 = 40407^2 + 41496^2 .

It is not a de Polignac number, because 3354643665 - 22 = 3354643661 is a prime.

It is a super-2 number, since 2×33546436652 = 22507268238249264450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3354643665.

It is not an unprimeable number, because it can be changed into a prime (3354643661) 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 23 ways as a sum of consecutive naturals, for example, 1005736 + ... + 1009065.

It is an arithmetic number, because the mean of its divisors is an integer number (248828047).

Almost surely, 23354643665 is an apocalyptic number.

It is an amenable number.

3354643665 is a deficient number, since it is larger than the sum of its proper divisors (2617229463).

3354643665 is a wasteful number, since it uses less digits than its factorization.

3354643665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014849 (or 2014846 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The square root of 3354643665 is about 57919.2857777097. The cubic root of 3354643665 is about 1496.9781630891.

The spelling of 3354643665 in words is "three billion, three hundred fifty-four million, six hundred forty-three thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 2014801 6044403 10074005 18133209 30222015 74547637 90666045 223642911 372738185 670928733 1118214555 3354643665