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306085212 = 223219676679
BaseRepresentation
bin10010001111100…
…111110101011100
3210022221201222100
4102033213311130
51111324211322
650212245100
710404452466
oct2217476534
9708851870
10306085212
11147860394
1286610790
134b54b814
142c919136
151bd11dac
hex123e7d5c

306085212 has 72 divisors (see below), whose sum is σ = 826716800. Its totient is φ = 95201568.

The previous prime is 306085207. The next prime is 306085217. The reversal of 306085212 is 212580603.

306085212 is a `hidden beast` number, since 3 + 0 + 608 + 52 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (306085207) and next prime (306085217).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306085217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42489 + ... + 49167.

Almost surely, 2306085212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306085212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413358400).

306085212 is an abundant number, since it is smaller than the sum of its proper divisors (520631588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306085212 is a wasteful number, since it uses less digits than its factorization.

306085212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 306085212 is about 17495.2911379034. The cubic root of 306085212 is about 673.9289549338.

The spelling of 306085212 in words is "three hundred six million, eighty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 6679 7638 11457 13358 15276 20037 22914 26716 40074 45828 60111 80148 120222 126901 240444 253802 380703 447493 507604 761406 894986 1142109 1342479 1522812 1789972 2284218 2684958 4027437 4568436 5369916 8054874 8502367 16109748 17004734 25507101 34009468 51014202 76521303 102028404 153042606 306085212