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3343000313 = 4110127993
BaseRepresentation
bin1100011101000010…
…0010001011111001
322121222110000022102
43013100202023321
523321302002223
61311420033145
7145562014412
oct30720421371
98558400272
103343000313
111466044684
127936927b5
134137896c3
14239db0809
15148748928
hexc74222f9

3343000313 has 12 divisors (see below), whose sum is σ = 3459211644. Its totient is φ = 3228768000.

The previous prime is 3343000307. The next prime is 3343000321. The reversal of 3343000313 is 3130003433.

It can be written as a sum of positive squares in 6 ways, for example, as 12902464 + 3330097849 = 3592^2 + 57707^2 .

It is not a de Polignac number, because 3343000313 - 220 = 3341951737 is a prime.

It is a super-2 number, since 2×33430003132 = 22351302185436195938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3343000333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414245 + ... + 422237.

It is an arithmetic number, because the mean of its divisors is an integer number (288267637).

Almost surely, 23343000313 is an apocalyptic number.

It is an amenable number.

3343000313 is a deficient number, since it is larger than the sum of its proper divisors (116211331).

3343000313 is an equidigital number, since it uses as much as digits as its factorization.

3343000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3343000313 is about 57818.6848086326. The cubic root of 3343000313 is about 1495.2442434176.

Adding to 3343000313 its reverse (3130003433), we get a palindrome (6473003746).

The spelling of 3343000313 in words is "three billion, three hundred forty-three million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 41 101 4141 7993 10201 327713 418241 807293 33099013 81536593 3343000313