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306627472 = 24195319031
BaseRepresentation
bin10010010001101…
…100001110010000
3210100222021211001
4102101230032100
51111444034342
650232031344
710412201434
oct2221541620
9710867731
10306627472
111480a0838
1286832554
134b6ab598
142ca1a9c4
151bdbc8b7
hex1246c390

306627472 has 40 divisors (see below), whose sum is σ = 637191360. Its totient is φ = 142496640.

The previous prime is 306627427. The next prime is 306627493. The reversal of 306627472 is 274726603.

It is a happy number.

306627472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3066274722 = 188040813170221568, 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 7 ways as a sum of consecutive naturals, for example, 6597 + ... + 25627.

It is an arithmetic number, because the mean of its divisors is an integer number (15929784).

Almost surely, 2306627472 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 306627472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318595680).

306627472 is an abundant number, since it is smaller than the sum of its proper divisors (330563888).

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

306627472 is a wasteful number, since it uses less digits than its factorization.

306627472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19111 (or 19105 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 306627472 is about 17510.7815930643. The cubic root of 306627472 is about 674.3266972464.

The spelling of 306627472 in words is "three hundred six million, six hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 16112 19031 38062 76124 152248 304496 361589 723178 1008643 1446356 2017286 2892712 4034572 5785424 8069144 16138288 19164217 38328434 76656868 153313736 306627472