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3311919 = 321328307
BaseRepresentation
bin1100101000100100101111
320020021002200
430220210233
51321440134
6154552543
740102512
oct14504457
96207080
103311919
111962326
121138753
138bc620
14622d79
15456499
hex32892f

3311919 has 12 divisors (see below), whose sum is σ = 5152056. Its totient is φ = 2038032.

The previous prime is 3311911. The next prime is 3311921. The reversal of 3311919 is 9191133.

3311919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3311919 - 23 = 3311911 is a prime.

It is a super-2 number, since 2×33119192 = 21937614925122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3311892 and 3311901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14037 + ... + 14270.

It is an arithmetic number, because the mean of its divisors is an integer number (429338).

Almost surely, 23311919 is an apocalyptic number.

3311919 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3311919 is a deficient number, since it is larger than the sum of its proper divisors (1840137).

3311919 is a wasteful number, since it uses less digits than its factorization.

3311919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28326 (or 28323 counting only the distinct ones).

The product of its digits is 729, while the sum is 27.

The square root of 3311919 is about 1819.8678523453. The cubic root of 3311919 is about 149.0595830950.

The spelling of 3311919 in words is "three million, three hundred eleven thousand, nine hundred nineteen".

Divisors: 1 3 9 13 39 117 28307 84921 254763 367991 1103973 3311919