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304308224 = 213112307
BaseRepresentation
bin10010001000110…
…110000000000000
3210012121110101222
4102020312000000
51110400330344
650110214212
710353401663
oct2210660000
9705543358
10304308224
11146857300
1285ab4368
134b078a4c
142c5b56da
151bab05ee
hex12236000

304308224 has 84 divisors (see below), whose sum is σ = 671113212. Its totient is φ = 137871360.

The previous prime is 304308217. The next prime is 304308227. The reversal of 304308224 is 422803403.

It is a junction number, because it is equal to n+sod(n) for n = 304308193 and 304308202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304308227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991079 + ... + 991385.

It is an arithmetic number, because the mean of its divisors is an integer number (7989443).

Almost surely, 2304308224 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 304308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335556606).

304308224 is an abundant number, since it is smaller than the sum of its proper divisors (366804988).

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

304308224 is an equidigital number, since it uses as much as digits as its factorization.

304308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 304308224 is about 17444.4324642563. The cubic root of 304308224 is about 672.6222505466.

The spelling of 304308224 in words is "three hundred four million, three hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 307 352 484 512 614 704 968 1024 1228 1408 1936 2048 2456 2816 3377 3872 4096 4912 5632 6754 7744 8192 9824 11264 13508 15488 19648 22528 27016 30976 37147 39296 45056 54032 61952 74294 78592 90112 108064 123904 148588 157184 216128 247808 297176 314368 432256 495616 594352 628736 864512 991232 1188704 1257472 1729024 2377408 2514944 3458048 4754816 6916096 9509632 13832192 19019264 27664384 38038528 76077056 152154112 304308224