Search a number
-
+
304043220 = 223451314437
BaseRepresentation
bin10010000111110…
…101010011010100
3210012002222220000
4102013311103110
51110313340340
650100411300
710351216245
oct2207652324
9705088800
10304043220
11146696198
12859a6b30
134acb5240
142c546ccc
151ba5bd30
hex121f54d4

304043220 has 120 divisors (see below), whose sum is σ = 1027234824. Its totient is φ = 74836224.

The previous prime is 304043219. The next prime is 304043237. The reversal of 304043220 is 22340403.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 299220804 = 2196^2 + 17298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304043193 and 304043202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13842 + ... + 28278.

Almost surely, 2304043220 is an apocalyptic number.

304043220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513617412).

304043220 is an abundant number, since it is smaller than the sum of its proper divisors (723191604).

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

304043220 is a wasteful number, since it uses less digits than its factorization.

304043220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 304043220 is about 17436.8351486157. The cubic root of 304043220 is about 672.4269448887.

Adding to 304043220 its reverse (22340403), we get a palindrome (326383623).

The spelling of 304043220 in words is "three hundred four million, forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 14437 21060 28874 43311 57748 72185 86622 129933 144370 173244 187681 216555 259866 288740 375362 389799 433110 519732 563043 649665 750724 779598 866220 938405 1126086 1169397 1299330 1559196 1689129 1876810 1948995 2252172 2338794 2598660 2815215 3378258 3753620 3897990 4677588 5067387 5630430 5846985 6756516 7795980 8445645 10134774 11260860 11693970 15202161 16891290 20269548 23387940 25336935 30404322 33782580 50673870 60808644 76010805 101347740 152021610 304043220