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3328405 = 52332857
BaseRepresentation
bin1100101100100110010101
320021002201021
430230212111
51323002110
6155201141
740201543
oct14544625
96232637
103328405
111973753
1211461b1
138c6c92
14628d93
1545b2da
hex32c995

3328405 has 8 divisors (see below), whose sum is σ = 4012632. Its totient is φ = 2650368.

The previous prime is 3328393. The next prime is 3328411. The reversal of 3328405 is 5048233.

3328405 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 4 ways, for example, as 206116 + 3122289 = 454^2 + 1767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3328405 - 25 = 3328373 is a prime.

It is a super-2 number, since 2×33284052 = 22156559688050, which contains 22 as substring.

It is a Duffinian number.

3328405 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3328405.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 264 + ... + 2593.

It is an arithmetic number, because the mean of its divisors is an integer number (501579).

Almost surely, 23328405 is an apocalyptic number.

It is an amenable number.

3328405 is a deficient number, since it is larger than the sum of its proper divisors (684227).

3328405 is a wasteful number, since it uses less digits than its factorization.

3328405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3328405 is about 1824.3916794373. The cubic root of 3328405 is about 149.3065023853.

The spelling of 3328405 in words is "three million, three hundred twenty-eight thousand, four hundred five".

Divisors: 1 5 233 1165 2857 14285 665681 3328405