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3305097 = 33167733
BaseRepresentation
bin1100100110111010001001
320012220202000
430212322021
51321230342
6154501213
740043565
oct14467211
96186660
103305097
111958194
121134809
138b94a3
146206a5
1545444c
hex326e89

3305097 has 16 divisors (see below), whose sum is σ = 4932480. Its totient is φ = 2187216.

The previous prime is 3305063. The next prime is 3305111. The reversal of 3305097 is 7905033.

3305097 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 3305097 - 26 = 3305033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

3305097 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3305097.

It is not an unprimeable number, because it can be changed into a prime (3305017) 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 15 ways as a sum of consecutive naturals, for example, 4143 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (308280).

Almost surely, 23305097 is an apocalyptic number.

It is an amenable number.

3305097 is a deficient number, since it is larger than the sum of its proper divisors (1627383).

3305097 is a wasteful number, since it uses less digits than its factorization.

3305097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 3305097 is about 1817.9925742423. The cubic root of 3305097 is about 148.9571667939.

Adding to 3305097 its sum of digits (27), we get a square (3305124 = 18182).

The spelling of 3305097 in words is "three million, three hundred five thousand, ninety-seven".

Divisors: 1 3 9 27 167 501 733 1503 2199 4509 6597 19791 122411 367233 1101699 3305097