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3330405 = 325135693
BaseRepresentation
bin1100101101000101100101
320021012110100
430231011211
51323033110
6155214313
740210431
oct14550545
96235410
103330405
111975201
121147399
138c7b70
146299c1
1545bbc0
hex32d165

3330405 has 24 divisors (see below), whose sum is σ = 6217848. Its totient is φ = 1639296.

The previous prime is 3330401. The next prime is 3330409. The reversal of 3330405 is 5040333.

It is a happy number.

3330405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3330401) and next prime (3330409).

It can be written as a sum of positive squares in 4 ways, for example, as 25281 + 3305124 = 159^2 + 1818^2 .

It is not a de Polignac number, because 3330405 - 22 = 3330401 is a prime.

It is a super-2 number, since 2×33304052 = 22183194928050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330401) 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 23 ways as a sum of consecutive naturals, for example, 2262 + ... + 3431.

It is an arithmetic number, because the mean of its divisors is an integer number (259077).

Almost surely, 23330405 is an apocalyptic number.

It is an amenable number.

3330405 is a deficient number, since it is larger than the sum of its proper divisors (2887443).

3330405 is a wasteful number, since it uses less digits than its factorization.

3330405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3330405 is about 1824.9397250320. The cubic root of 3330405 is about 149.3364019131.

Adding to 3330405 its reverse (5040333), we get a palindrome (8370738).

The spelling of 3330405 in words is "three million, three hundred thirty thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 5693 17079 28465 51237 74009 85395 222027 256185 370045 666081 1110135 3330405