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306300813 = 37213295527
BaseRepresentation
bin10010010000011…
…100011110001101
3210100100200201120
4102100130132031
51111403111223
650221031153
710406341200
oct2220343615
9710320646
10306300813
11147998375
12866b54b9
134b5c59b0
142c973937
151bd55be3
hex1241c78d

306300813 has 48 divisors (see below), whose sum is σ = 529361280. Its totient is φ = 155965824.

The previous prime is 306300811. The next prime is 306300823. The reversal of 306300813 is 318003603.

It is not a de Polignac number, because 306300813 - 21 = 306300811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306300811) 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 47 ways as a sum of consecutive naturals, for example, 52656 + ... + 58182.

It is an arithmetic number, because the mean of its divisors is an integer number (11028360).

Almost surely, 2306300813 is an apocalyptic number.

It is an amenable number.

306300813 is a deficient number, since it is larger than the sum of its proper divisors (223060467).

306300813 is a wasteful number, since it uses less digits than its factorization.

306300813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 306300813 is about 17501.4517397843. The cubic root of 306300813 is about 674.0871523341.

The spelling of 306300813 in words is "three hundred six million, three hundred thousand, eight hundred thirteen".

Divisors: 1 3 7 13 21 29 39 49 87 91 147 203 273 377 609 637 1131 1421 1911 2639 4263 5527 7917 16581 18473 38689 55419 71851 116067 160283 215553 270823 480849 502957 812469 1121981 1508871 2083679 3365943 3520699 6251037 7853867 10562097 14585753 23561601 43757259 102100271 306300813