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306226866 = 231131971543
BaseRepresentation
bin10010010000001…
…010011010110010
3210100012221021210
4102100022122302
51111343224431
650215300550
710405612461
oct2220123262
9710187253
10306226866
11147947860
128667a756
134b59b13a
142c9549d8
151bd3dd46
hex1240a6b2

306226866 has 64 divisors (see below), whose sum is σ = 697245696. Its totient is φ = 88819200.

The previous prime is 306226801. The next prime is 306226873. The reversal of 306226866 is 668622603.

306226866 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 197691 + ... + 199233.

It is an arithmetic number, because the mean of its divisors is an integer number (10894464).

Almost surely, 2306226866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306226866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348622848).

306226866 is an abundant number, since it is smaller than the sum of its proper divisors (391018830).

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

306226866 is a wasteful number, since it uses less digits than its factorization.

306226866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 306226866 is about 17499.3390160886. The cubic root of 306226866 is about 674.0329020324.

The spelling of 306226866 in words is "three hundred six million, two hundred twenty-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 97 186 194 291 341 582 682 1023 1067 1543 2046 2134 3007 3086 3201 4629 6014 6402 9021 9258 16973 18042 33077 33946 47833 50919 66154 95666 99231 101838 143499 149671 198462 286998 299342 449013 526163 898026 1052326 1578489 1646381 3156978 3292762 4639801 4939143 9279602 9878286 13919403 27838806 51037811 102075622 153113433 306226866