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3365957 = 7273941
BaseRepresentation
bin1100110101110001000101
320100000020002
430311301011
51330202312
6200051045
740416200
oct14656105
96300202
103365957
111999991
121163a85
1390b0ba
14638937
154674c2
hex335c45

3365957 has 12 divisors (see below), whose sum is σ = 3973356. Its totient is φ = 2842560.

The previous prime is 3365917. The next prime is 3365959. The reversal of 3365957 is 7595633.

3365957 is nontrivially palindromic in base 11.

3365957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1999396 + 1366561 = 1414^2 + 1169^2 .

It is not a de Polignac number, because 3365957 - 26 = 3365893 is a prime.

It is a super-2 number, since 2×33659572 = 22659333051698, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3365957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365959) 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, 3107 + ... + 4047.

It is an arithmetic number, because the mean of its divisors is an integer number (331113).

Almost surely, 23365957 is an apocalyptic number.

It is an amenable number.

3365957 is a deficient number, since it is larger than the sum of its proper divisors (607399).

3365957 is an equidigital number, since it uses as much as digits as its factorization.

3365957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1021 counting only the distinct ones).

The product of its digits is 85050, while the sum is 38.

The square root of 3365957 is about 1834.6544633800. The cubic root of 3365957 is about 149.8659097975.

The spelling of 3365957 in words is "three million, three hundred sixty-five thousand, nine hundred fifty-seven".

Divisors: 1 7 49 73 511 941 3577 6587 46109 68693 480851 3365957