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347485705 = 57210331373
BaseRepresentation
bin10100101101100…
…011011000001001
3220012212002202221
4110231203120021
51202424020310
654251454041
711416402600
oct2455433011
9805762687
10347485705
11169168176
1298457321
1356cb5958
1434214a37
152078dada
hex14b63609

347485705 has 24 divisors (see below), whose sum is σ = 485884872. Its totient is φ = 237871872.

The previous prime is 347485703. The next prime is 347485741. The reversal of 347485705 is 507584743.

It can be written as a sum of positive squares in 4 ways, for example, as 233081289 + 114404416 = 15267^2 + 10696^2 .

It is not a de Polignac number, because 347485705 - 21 = 347485703 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347485703) 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 23 ways as a sum of consecutive naturals, for example, 252399 + ... + 253771.

It is an arithmetic number, because the mean of its divisors is an integer number (20245203).

Almost surely, 2347485705 is an apocalyptic number.

347485705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

347485705 is a deficient number, since it is larger than the sum of its proper divisors (138399167).

347485705 is a wasteful number, since it uses less digits than its factorization.

347485705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The square root of 347485705 is about 18640.9684566012. The cubic root of 347485705 is about 703.0382934530.

The spelling of 347485705 in words is "three hundred forty-seven million, four hundred eighty-five thousand, seven hundred five".

Divisors: 1 5 7 35 49 245 1033 1373 5165 6865 7231 9611 36155 48055 50617 67277 253085 336385 1418309 7091545 9928163 49640815 69497141 347485705