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304240300 = 225271367499
BaseRepresentation
bin10010001000100…
…101011010101100
3210012111000020021
4102020211122230
51110341142200
650104531524
710352666650
oct2210453254
9705430207
10304240300
11146810271
1285a80ba4
134b053b60
142c598a60
151ba9a41a
hex122256ac

304240300 has 144 divisors (see below), whose sum is σ = 826336000. Its totient is φ = 94659840.

The previous prime is 304240291. The next prime is 304240303. The reversal of 304240300 is 3042403.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (304240303) 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, 609451 + ... + 609949.

Almost surely, 2304240300 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 304240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413168000).

304240300 is an abundant number, since it is smaller than the sum of its proper divisors (522095700).

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

304240300 is a wasteful number, since it uses less digits than its factorization.

304240300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 304240300 is about 17442.4854880261. The cubic root of 304240300 is about 672.5722019557.

Adding to 304240300 its reverse (3042403), we get a palindrome (307282703).

Multiplying 304240300 by its reverse (3042403), we get a square (925621601440900 = 304240302).

304240300 divided by its reverse (3042403) gives a square (100 = 102).

The spelling of 304240300 in words is "three hundred four million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 67 70 91 100 130 134 140 175 182 260 268 325 335 350 364 455 469 499 650 670 700 871 910 938 998 1300 1340 1675 1742 1820 1876 1996 2275 2345 2495 3350 3484 3493 4355 4550 4690 4990 6097 6487 6700 6986 8710 9100 9380 9980 11725 12194 12475 12974 13972 17420 17465 21775 23450 24388 24950 25948 30485 32435 33433 34930 43550 45409 46900 49900 60970 64870 66866 69860 87100 87325 90818 121940 129740 133732 152425 162175 167165 174650 181636 227045 234031 304850 324350 334330 349300 434629 454090 468062 609700 648700 668660 835825 869258 908180 936124 1135225 1170155 1671650 1738516 2173145 2270450 2340310 3042403 3343300 4346290 4540900 4680620 5850775 6084806 8692580 10865725 11701550 12169612 15212015 21731450 23403100 30424030 43462900 60848060 76060075 152120150 304240300