Search a number
-
+
304260390 = 232571728409
BaseRepresentation
bin10010001000101…
…010010100100110
3210012112000210100
4102020222110212
51110342313030
650105204530
710353112350
oct2210522446
9705460710
10304260390
11146824375
1285a90746
134b060045
142c5a20d0
151baa1360
hex1222a526

304260390 has 96 divisors (see below), whose sum is σ = 957303360. Its totient is φ = 65452032.

The previous prime is 304260367. The next prime is 304260413. The reversal of 304260390 is 93062403.

It is an interprime number because it is at equal distance from previous prime (304260367) and next prime (304260413).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3495 + ... + 24914.

It is an arithmetic number, because the mean of its divisors is an integer number (9971910).

Almost surely, 2304260390 is an apocalyptic number.

304260390 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 304260390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478651680).

304260390 is an abundant number, since it is smaller than the sum of its proper divisors (653042970).

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

304260390 is a wasteful number, since it uses less digits than its factorization.

304260390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28446 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 304260390 is about 17443.0613712158. The cubic root of 304260390 is about 672.5870056905.

The spelling of 304260390 in words is "three hundred four million, two hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 28409 56818 85227 142045 170454 198863 255681 284090 397726 426135 482953 511362 596589 852270 965906 994315 1193178 1278405 1448859 1789767 1988630 2414765 2556810 2897718 2982945 3380671 3579534 4346577 4829530 5965890 6761342 7244295 8693154 8948835 10142013 14488590 16903355 17897670 20284026 21732885 30426039 33806710 43465770 50710065 60852078 101420130 152130195 304260390