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305680212 = 2232233111909
BaseRepresentation
bin10010001110000…
…100111101010100
3210022012011102100
4102032010331110
51111223231322
650155442100
710401144645
oct2216047524
9708164370
10305680212
11147604082
1286456330
134b439386
142c8516cc
151bc81dac
hex12384f54

305680212 has 72 divisors (see below), whose sum is σ = 832366080. Its totient is φ = 94311360.

The previous prime is 305680157. The next prime is 305680217. The reversal of 305680212 is 212086503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305680217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19714 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (11560640).

Almost surely, 2305680212 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 305680212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416183040).

305680212 is an abundant number, since it is smaller than the sum of its proper divisors (526685868).

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

305680212 is a wasteful number, since it uses less digits than its factorization.

305680212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11968 counting only the distinct ones).

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

The square root of 305680212 is about 17483.7127635980. The cubic root of 305680212 is about 673.6315849136.

The spelling of 305680212 in words is "three hundred five million, six hundred eighty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 11909 12834 23818 25668 35727 47636 71454 107181 142908 214362 273907 369179 428724 547814 738358 821721 1095628 1107537 1476716 1643442 2215074 2465163 3286884 3322611 4430148 4930326 6645222 8491117 9860652 13290444 16982234 25473351 33964468 50946702 76420053 101893404 152840106 305680212