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3312309 = 3711131103
BaseRepresentation
bin1100101000101010110101
320020021122010
430220222311
51321443214
6154554433
740103610
oct14505265
96207563
103312309
111962650
121138a19
138bc860
14623177
15456659
hex328ab5

3312309 has 32 divisors (see below), whose sum is σ = 5935104. Its totient is φ = 1586880.

The previous prime is 3312307. The next prime is 3312347. The reversal of 3312309 is 9032133.

3312309 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 3312309 - 21 = 3312307 is a prime.

It is a super-2 number, since 2×33123092 = 21942781822962, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312307) 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 31 ways as a sum of consecutive naturals, for example, 2452 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (185472).

Almost surely, 23312309 is an apocalyptic number.

3312309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3312309 is a deficient number, since it is larger than the sum of its proper divisors (2622795).

3312309 is a wasteful number, since it uses less digits than its factorization.

3312309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3312309 is about 1819.9749998283. The cubic root of 3312309 is about 149.0654337771.

The spelling of 3312309 in words is "three million, three hundred twelve thousand, three hundred nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 1103 3003 3309 7721 12133 14339 23163 36399 43017 84931 100373 157729 254793 301119 473187 1104103 3312309