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306400068 = 223213654701
BaseRepresentation
bin10010010000110…
…100101101000100
3210100112201212200
4102100310231010
51111414300233
650223114500
710410233442
oct2220645504
9710481780
10306400068
11147a559a7
1286742a30
134b62bc20
142c99bb92
151bd75313
hex12434b44

306400068 has 36 divisors (see below), whose sum is σ = 834090348. Its totient is φ = 94276800.

The previous prime is 306400067. The next prime is 306400079. The reversal of 306400068 is 860004603.

306400068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 226261764 = 8952^2 + 15042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (306400067) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 326883 + ... + 327818.

Almost surely, 2306400068 is an apocalyptic number.

It is an amenable number.

306400068 is an abundant number, since it is smaller than the sum of its proper divisors (527690280).

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

306400068 is a wasteful number, since it uses less digits than its factorization.

306400068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654724 (or 654719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306400068 is about 17504.2871320143. The cubic root of 306400068 is about 674.1599558134.

The spelling of 306400068 in words is "three hundred six million, four hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 654701 1309402 1964103 2618804 3928206 5892309 7856412 8511113 11784618 17022226 23569236 25533339 34044452 51066678 76600017 102133356 153200034 306400068