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306438141 = 317411011451
BaseRepresentation
bin10010010000111…
…101111111111101
3210100121200002210
4102100331333331
51111422010031
650224011033
710410452442
oct2220757775
9710550083
10306438141
11147a81569
1286760a79
134b643359
142c9ab9c9
151bd81746
hex1243dffd

306438141 has 32 divisors (see below), whose sum is σ = 447866496. Its totient is φ = 185600000.

The previous prime is 306438091. The next prime is 306438169. The reversal of 306438141 is 141834603.

It is a cyclic number.

It is not a de Polignac number, because 306438141 - 29 = 306437629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 306438099 and 306438108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306438541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210466 + ... + 211916.

It is an arithmetic number, because the mean of its divisors is an integer number (13995828).

Almost surely, 2306438141 is an apocalyptic number.

It is an amenable number.

306438141 is a deficient number, since it is larger than the sum of its proper divisors (141428355).

306438141 is a wasteful number, since it uses less digits than its factorization.

306438141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 306438141 is about 17505.3746318095. The cubic root of 306438141 is about 674.1878781625.

The spelling of 306438141 in words is "three hundred six million, four hundred thirty-eight thousand, one hundred forty-one".

Divisors: 1 3 17 41 51 101 123 303 697 1451 1717 2091 4141 4353 5151 12423 24667 59491 70397 74001 146551 178473 211191 439653 1011347 2491367 3034041 6008591 7474101 18025773 102146047 306438141