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3305829 = 31959983
BaseRepresentation
bin1100100111000101100101
320012221202010
430213011211
51321241304
6154504433
740045662
oct14470545
96187663
103305829
11195879a
121135119
138b9917
14620a69
15454789
hex327165

3305829 has 16 divisors (see below), whose sum is σ = 4723200. Its totient is φ = 2050416.

The previous prime is 3305821. The next prime is 3305833. The reversal of 3305829 is 9285033.

It is a happy number.

3305829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3305829 - 23 = 3305821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3305796 and 3305805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305821) 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 15 ways as a sum of consecutive naturals, for example, 2872 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (295200).

Almost surely, 23305829 is an apocalyptic number.

It is an amenable number.

3305829 is a deficient number, since it is larger than the sum of its proper divisors (1417371).

3305829 is a wasteful number, since it uses less digits than its factorization.

3305829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3305829 is about 1818.1938840509. The cubic root of 3305829 is about 148.9681627997.

The spelling of 3305829 in words is "three million, three hundred five thousand, eight hundred twenty-nine".

Divisors: 1 3 19 57 59 177 983 1121 2949 3363 18677 56031 57997 173991 1101943 3305829