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306680309 = 13372812269
BaseRepresentation
bin10010010001111…
…001000111110101
3210101001222021222
4102101321013311
51112002232214
650233120125
710412511455
oct2221710765
9711058258
10306680309
11148127501
1286859045
134b6c9650
142ca31d65
151bdcd38e
hex124791f5

306680309 has 16 divisors (see below), whose sum is σ = 340554480. Its totient is φ = 274337280.

The previous prime is 306680299. The next prime is 306680317. The reversal of 306680309 is 903086603.

It can be written as a sum of positive squares in 8 ways, for example, as 8427409 + 298252900 = 2903^2 + 17270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-306680309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306680359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134027 + ... + 136295.

It is an arithmetic number, because the mean of its divisors is an integer number (21284655).

Almost surely, 2306680309 is an apocalyptic number.

It is an amenable number.

306680309 is a deficient number, since it is larger than the sum of its proper divisors (33874171).

306680309 is a wasteful number, since it uses less digits than its factorization.

306680309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 306680309 is about 17512.2902271519. The cubic root of 306680309 is about 674.3654275806.

The spelling of 306680309 in words is "three hundred six million, six hundred eighty thousand, three hundred nine".

Divisors: 1 13 37 281 481 2269 3653 10397 29497 83953 135161 637589 1091389 8288657 23590793 306680309