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3385726969 = 31218772
BaseRepresentation
bin1100100111001110…
…0001011111111001
322201221211202021011
43021303201133321
523413221230334
61315543513521
7146621130052
oct31163413771
98657752234
103385726969
111488177869
127a5a588a1
1341c599351
14241933729
1514c388564
hexc9ce17f9

3385726969 has 9 divisors (see below), whose sum is σ = 3500331951. Its totient is φ = 3274764360.

The previous prime is 3385726951. The next prime is 3385726979. The reversal of 3385726969 is 9696275833.

The square root of 3385726969 is 58187.

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

It can be written as a sum of positive squares in only one way, i.e., 2119221225 + 1266505744 = 46035^2 + 35588^2 .

It is not a de Polignac number, because 3385726969 - 211 = 3385724921 is a prime.

It is a super-2 number, since 2×33857269692 = 22926294217227853922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3385726979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1802859 + ... + 1804735.

Almost surely, 23385726969 is an apocalyptic number.

3385726969 is the 58187-th square number.

3385726969 is the 29094-th centered octagonal number.

It is an amenable number.

3385726969 is a deficient number, since it is larger than the sum of its proper divisors (114604982).

3385726969 is an frugal number, since it uses more digits than its factorization.

3385726969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 1908 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The cubic root of 3385726969 is about 1501.5874998959.

The spelling of 3385726969 in words is "three billion, three hundred eighty-five million, seven hundred twenty-six thousand, nine hundred sixty-nine".

Divisors: 1 31 961 1877 58187 1803797 3523129 109216999 3385726969