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3344393 = 131737409
BaseRepresentation
bin1100110000100000001001
320021220122102
430300200021
51324010033
6155403145
740266263
oct14604011
96256572
103344393
111984768
1211534b5
13901340
14630b33
15460de8
hex330809

3344393 has 16 divisors (see below), whose sum is σ = 3926160. Its totient is φ = 2820096.

The previous prime is 3344389. The next prime is 3344401. The reversal of 3344393 is 3934433.

It can be written as a sum of positive squares in 8 ways, for example, as 565504 + 2778889 = 752^2 + 1667^2 .

It is not a de Polignac number, because 3344393 - 22 = 3344389 is a prime.

It is a super-2 number, since 2×33443932 = 22369929076898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3344303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7973 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (245385).

Almost surely, 23344393 is an apocalyptic number.

It is an amenable number.

3344393 is a deficient number, since it is larger than the sum of its proper divisors (581767).

3344393 is a wasteful number, since it uses less digits than its factorization.

3344393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its digits is 11664, while the sum is 29.

The square root of 3344393 is about 1828.7681646398. The cubic root of 3344393 is about 149.5451853141.

The spelling of 3344393 in words is "three million, three hundred forty-four thousand, three hundred ninety-three".

Divisors: 1 13 17 37 221 409 481 629 5317 6953 8177 15133 90389 196729 257261 3344393