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3643228305 = 32580960629
BaseRepresentation
bin1101100100100111…
…0100000010010001
3100101220101011200200
43121021310002101
524430131301210
61401303005413
7156165633603
oct33111640221
910356334620
103643228305
1115aa564392
12858139869
13460a371c2
14267c03173
15164ca00c0
hexd9274091

3643228305 has 12 divisors (see below), whose sum is σ = 6314929140. Its totient is φ = 1943055072.

The previous prime is 3643228271. The next prime is 3643228319. The reversal of 3643228305 is 5038223463.

It is a happy number.

3643228305 is a `hidden beast` number, since 3 + 643 + 2 + 2 + 8 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 922458384 + 2720769921 = 30372^2 + 52161^2 .

It is not a de Polignac number, because 3643228305 - 26 = 3643228241 is a prime.

It is a super-2 number, since 2×36432283052 = 26546224964706346050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3643228305.

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 11 ways as a sum of consecutive naturals, for example, 40480270 + ... + 40480359.

It is an arithmetic number, because the mean of its divisors is an integer number (526244095).

Almost surely, 23643228305 is an apocalyptic number.

It is an amenable number.

3643228305 is a deficient number, since it is larger than the sum of its proper divisors (2671700835).

3643228305 is a wasteful number, since it uses less digits than its factorization.

3643228305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80960640 (or 80960637 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3643228305 is about 60359.1609037104. The cubic root of 3643228305 is about 1538.7289654397.

The spelling of 3643228305 in words is "three billion, six hundred forty-three million, two hundred twenty-eight thousand, three hundred five".

Divisors: 1 3 5 9 15 45 80960629 242881887 404803145 728645661 1214409435 3643228305