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3305105441 = 11273374177
BaseRepresentation
bin1100010011111111…
…1110100000100001
322112100010202022122
43010333332200201
523232101333231
61303543514025
7144621634631
oct30477764041
98470122278
103305105441
111446711700
12782a58915
1340897c0c1
14234d486c1
1514526077b
hexc4ffe821

3305105441 has 12 divisors (see below), whose sum is σ = 3682659876. Its totient is φ = 2963473920.

The previous prime is 3305105417. The next prime is 3305105459. The reversal of 3305105441 is 1445015033.

It can be written as a sum of positive squares in 2 ways, for example, as 2363904400 + 941201041 = 48620^2 + 30679^2 .

It is not a de Polignac number, because 3305105441 - 210 = 3305104417 is a prime.

It is a super-2 number, since 2×33051054412 = 21847443952255608962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3305105441.

It is not an unprimeable number, because it can be changed into a prime (3305105411) 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, 178256 + ... + 195921.

It is an arithmetic number, because the mean of its divisors is an integer number (306888323).

Almost surely, 23305105441 is an apocalyptic number.

It is an amenable number.

3305105441 is a deficient number, since it is larger than the sum of its proper divisors (377554435).

3305105441 is a wasteful number, since it uses less digits than its factorization.

3305105441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374272 (or 374261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 3305105441 is about 57490.0464515380. The cubic root of 3305105441 is about 1489.5729360274.

The spelling of 3305105441 in words is "three billion, three hundred five million, one hundred five thousand, four hundred forty-one".

Divisors: 1 11 73 121 803 8833 374177 4115947 27314921 45275417 300464131 3305105441