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305840322 = 232291015801
BaseRepresentation
bin10010001110101…
…100000011000010
3210022111022001100
4102032230003002
51111243342242
650203115230
710402412514
oct2216540302
9708438040
10305840322
111477033a7
1286512b16
134b494208
142c893bb4
151bcb454c
hex123ac0c2

305840322 has 48 divisors (see below), whose sum is σ = 692410680. Its totient is φ = 97440000.

The previous prime is 305840317. The next prime is 305840377. The reversal of 305840322 is 223048503.

It can be written as a sum of positive squares in 4 ways, for example, as 288626121 + 17214201 = 16989^2 + 4149^2 .

It is a super-2 number, since 2×3058403222 = 187076605122127368, which contains 22 as substring.

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, 49822 + ... + 55622.

Almost surely, 2305840322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305840322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346205340).

305840322 is an abundant number, since it is smaller than the sum of its proper divisors (386570358).

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

305840322 is a wasteful number, since it uses less digits than its factorization.

305840322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 305840322 is about 17488.2909971215. The cubic root of 305840322 is about 673.7491765703.

Adding to 305840322 its reverse (223048503), we get a palindrome (528888825).

The spelling of 305840322 in words is "three hundred five million, eight hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5801 5858 8787 11602 17403 17574 26361 34806 52209 52722 104418 168229 336458 504687 585901 1009374 1171802 1514061 1757703 3028122 3515406 5273109 10546218 16991129 33982258 50973387 101946774 152920161 305840322