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3395309819 = 1117103409431
BaseRepresentation
bin1100101001100000…
…0101000011111011
322202121212121110112
43022120011003323
523423144403234
61320525134535
7150065441306
oct31230050373
98677777415
103395309819
111492622580
127a90ba44b
13421573085
14242d09b3d
1514d12cace
hexca6050fb

3395309819 has 32 divisors (see below), whose sum is σ = 3978823680. Its totient is φ = 2863180800.

The previous prime is 3395309809. The next prime is 3395309851. The reversal of 3395309819 is 9189035933.

It is not a de Polignac number, because 3395309819 - 212 = 3395305723 is a prime.

It is a super-2 number, since 2×33953098192 = 23056257533995625522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3395309809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7877534 + ... + 7877964.

It is an arithmetic number, because the mean of its divisors is an integer number (124338240).

Almost surely, 23395309819 is an apocalyptic number.

3395309819 is a deficient number, since it is larger than the sum of its proper divisors (583513861).

3395309819 is a wasteful number, since it uses less digits than its factorization.

3395309819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 787320, while the sum is 50.

The square root of 3395309819 is about 58269.2870987796. The cubic root of 3395309819 is about 1503.0028466706.

The spelling of 3395309819 in words is "three billion, three hundred ninety-five million, three hundred nine thousand, eight hundred nineteen".

Divisors: 1 11 17 103 187 409 431 1133 1751 4499 4741 6953 7327 19261 42127 44393 76483 80597 176279 463397 488323 716159 754681 1939069 2996743 7877749 8301491 18156737 32964173 199724107 308664529 3395309819