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306268068 = 223193612
BaseRepresentation
bin10010010000010…
…100011110100100
3210100022000210210
4102100110132210
51111401034233
650220215420
710406143551
oct2220243644
9710260723
10306268068
11147975807
128669a570
134b5b3b12
142c965a28
151bd4b163
hex124147a4

306268068 has 72 divisors (see below), whose sum is σ = 766889760. Its totient is φ = 95130720.

The previous prime is 306268037. The next prime is 306268111. The reversal of 306268068 is 860862603.

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 23 ways as a sum of consecutive naturals, for example, 5020758 + ... + 5020818.

Almost surely, 2306268068 is an apocalyptic number.

306268068 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306268068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383444880).

306268068 is an abundant number, since it is smaller than the sum of its proper divisors (460621692).

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

306268068 is an equidigital number, since it uses as much as digits as its factorization.

306268068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 306268068 is about 17500.5162209576. The cubic root of 306268068 is about 674.0631304472.

The spelling of 306268068 in words is "three hundred six million, two hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 361 366 722 732 1083 1159 1444 2166 2318 3477 3721 4332 4636 6859 6954 7442 11163 13718 13908 14884 20577 22021 22326 27436 41154 44042 44652 66063 70699 82308 88084 132126 141398 212097 264252 282796 418399 424194 836798 848388 1255197 1343281 1673596 2510394 2686562 4029843 5020788 5373124 8059686 16119372 25522339 51044678 76567017 102089356 153134034 306268068