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3106417316 = 2241148912721
BaseRepresentation
bin1011100100101000…
…0010101010100100
322000111021100110012
42321022002222210
522330220323231
61232125145352
7136660053152
oct27112025244
98014240405
103106417316
111354545342
127283bb258
133a6763c72
142167c83d2
15132ab4e2b
hexb9282aa4

3106417316 has 24 divisors (see below), whose sum is σ = 5572999320. Its totient is φ = 1514188800.

The previous prime is 3106417313. The next prime is 3106417367. The reversal of 3106417316 is 6137146013.

It can be written as a sum of positive squares in 4 ways, for example, as 91968100 + 3014449216 = 9590^2 + 54904^2 .

It is a super-2 number, since 2×31064173162 = 19299657082289287712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3106417313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 237836 + ... + 250556.

It is an arithmetic number, because the mean of its divisors is an integer number (232208305).

Almost surely, 23106417316 is an apocalyptic number.

It is an amenable number.

3106417316 is a deficient number, since it is larger than the sum of its proper divisors (2466582004).

3106417316 is a wasteful number, since it uses less digits than its factorization.

3106417316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3106417316 is about 55735.2430334703. The cubic root of 3106417316 is about 1459.1051807162.

The spelling of 3106417316 in words is "three billion, one hundred six million, four hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 4 41 82 164 1489 2978 5956 12721 25442 50884 61049 122098 244196 521561 1043122 2086244 18941569 37883138 75766276 776604329 1553208658 3106417316