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3105944361 = 3213214292
BaseRepresentation
bin1011100100100000…
…1111001100101001
322000110101022200100
42321020033030221
522330110204421
61232111100013
7136653043242
oct27110171451
98013338610
103105944361
111354251a73
12728211609
133a6629900
14216703cc9
15132a1ec26
hexb920f329

3105944361 has 27 divisors (see below), whose sum is σ = 4861417509. Its totient is φ = 1910012832.

The previous prime is 3105944333. The next prime is 3105944363. The reversal of 3105944361 is 1634495013.

The square root of 3105944361 is 55731.

It is a perfect power (a square), and thus also a powerful number.

3105944361 is a `hidden beast` number, since 3 + 1 + 0 + 594 + 4 + 3 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1946133225 + 1159811136 = 44115^2 + 34056^2 .

It is not a de Polignac number, because 3105944361 - 215 = 3105911593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3105944363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2172795 + ... + 2174223.

Almost surely, 23105944361 is an apocalyptic number.

3105944361 is the 55731-st square number.

3105944361 is the 27866-th centered octagonal number.

It is an amenable number.

3105944361 is a deficient number, since it is larger than the sum of its proper divisors (1755473148).

3105944361 is an equidigital number, since it uses as much as digits as its factorization.

3105944361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 3105944361 is about 1459.0311269058.

Multiplying 3105944361 by its sum of digits (36), we get a square (111813996996 = 3343862).

The spelling of 3105944361 in words is "three billion, one hundred five million, nine hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1429 1521 4287 12861 18577 55731 167193 241501 724503 2042041 2173509 6126123 18378369 26546533 79639599 238918797 345104929 1035314787 3105944361