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3310009 = 19253173
BaseRepresentation
bin1100101000000110111001
320020011110221
430220012321
51321410014
6154540041
740064113
oct14500671
96204427
103310009
11196094a
121137621
138bb7b1
146223b3
15455b24
hex3281b9

3310009 has 12 divisors (see below), whose sum is σ = 3579876. Its totient is φ = 3058848.

The previous prime is 3309997. The next prime is 3310049. The reversal of 3310009 is 9000133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2732409 + 577600 = 1653^2 + 760^2 .

It is not a de Polignac number, because 3310009 - 219 = 2785721 is a prime.

It is a Duffinian number.

3310009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3309974 and 3310001.

It is not an unprimeable number, because it can be changed into a prime (3310049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19047 + ... + 19219.

It is an arithmetic number, because the mean of its divisors is an integer number (298323).

Almost surely, 23310009 is an apocalyptic number.

It is an amenable number.

3310009 is a deficient number, since it is larger than the sum of its proper divisors (269867).

3310009 is a wasteful number, since it uses less digits than its factorization.

3310009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3310009 is about 1819.3430132880. The cubic root of 3310009 is about 149.0309231196.

The spelling of 3310009 in words is "three million, three hundred ten thousand, nine".

Divisors: 1 19 53 173 361 1007 3287 9169 19133 62453 174211 3310009