Search a number
-
+
304088730 = 235112194409
BaseRepresentation
bin10010001000000…
…000011010011010
3210012012022022120
4102020000122122
51110321314410
650101402110
710351466031
oct2210003232
9705168276
10304088730
11146717400
1285a09336
134acccb7a
142c559718
151ba6a570
hex1220069a

304088730 has 96 divisors (see below), whose sum is σ = 844603200. Its totient is φ = 69822720.

The previous prime is 304088723. The next prime is 304088737. The reversal of 304088730 is 37880403.

It is an interprime number because it is at equal distance from previous prime (304088723) and next prime (304088737).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 304088691 and 304088700.

It is not an unprimeable number, because it can be changed into a prime (304088737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66766 + ... + 71174.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2304088730 is an apocalyptic number.

304088730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304088730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422301600).

304088730 is an abundant number, since it is smaller than the sum of its proper divisors (540514470).

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

304088730 is a wasteful number, since it uses less digits than its factorization.

304088730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 304088730 is about 17438.1400957786. The cubic root of 304088730 is about 672.4604934343.

The spelling of 304088730 in words is "three hundred four million, eighty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 1045 1210 1254 1815 2090 2299 3135 3630 4409 4598 6270 6897 8818 11495 13227 13794 22045 22990 26454 34485 44090 48499 66135 68970 83771 96998 132270 145497 167542 242495 251313 290994 418855 484990 502626 533489 727485 837710 921481 1066978 1256565 1454970 1600467 1842962 2513130 2667445 2764443 3200934 4607405 5334890 5528886 8002335 9214810 10136291 13822215 16004670 20272582 27644430 30408873 50681455 60817746 101362910 152044365 304088730