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3305321 = 37157569
BaseRepresentation
bin1100100110111101101001
320012221001022
430212331221
51321232241
6154502225
740044335
oct14467551
96187038
103305321
111958378
121134975
138b9616
146207c5
1545454b
hex326f69

3305321 has 8 divisors (see below), whose sum is σ = 3422280. Its totient is φ = 3189888.

The previous prime is 3305317. The next prime is 3305329. The reversal of 3305321 is 1235033.

It can be written as a sum of positive squares in 4 ways, for example, as 346921 + 2958400 = 589^2 + 1720^2 .

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 3305321 - 22 = 3305317 is a prime.

It is a super-3 number, since 3×33053213 (a number of 21 digits) contains 333 as substring.

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 3305321.

It is not an unprimeable number, because it can be changed into a prime (3305329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5525 + ... + 6093.

It is an arithmetic number, because the mean of its divisors is an integer number (427785).

Almost surely, 23305321 is an apocalyptic number.

It is an amenable number.

3305321 is a deficient number, since it is larger than the sum of its proper divisors (116959).

3305321 is a wasteful number, since it uses less digits than its factorization.

3305321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763.

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 3305321 is about 1818.0541796107. The cubic root of 3305321 is about 148.9605318642.

The spelling of 3305321 in words is "three million, three hundred five thousand, three hundred twenty-one".

Divisors: 1 37 157 569 5809 21053 89333 3305321