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304144020 = 2232519113787
BaseRepresentation
bin10010001000001…
…101111010010100
3210012022010011100
4102020031322110
51110330102040
650102510100
710352116155
oct2210157224
9705263140
10304144020
111467549a4
1285a35330
134b01c09b
142c57192c
151ba7bb30
hex1220de94

304144020 has 144 divisors (see below), whose sum is σ = 980965440. Its totient is φ = 76059648.

The previous prime is 304143989. The next prime is 304144063. The reversal of 304144020 is 20441403.

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 = 304143984 and 304144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386067 + ... + 386853.

It is an arithmetic number, because the mean of its divisors is an integer number (6812260).

Almost surely, 2304144020 is an apocalyptic number.

304144020 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 304144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490482720).

304144020 is an abundant number, since it is smaller than the sum of its proper divisors (676821420).

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

304144020 is a wasteful number, since it uses less digits than its factorization.

304144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304144020 is about 17439.7253418739. The cubic root of 304144020 is about 672.5012469862.

Adding to 304144020 its reverse (20441403), we get a palindrome (324585423).

The spelling of 304144020 in words is "three hundred four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 787 855 1017 1130 1140 1356 1574 1695 1710 2034 2147 2260 2361 3148 3390 3420 3935 4068 4294 4722 5085 6441 6780 7083 7870 8588 9444 10170 10735 11805 12882 14166 14953 15740 19323 20340 21470 23610 25764 28332 29906 32205 35415 38646 42940 44859 47220 59812 64410 70830 74765 77292 88931 89718 96615 128820 134577 141660 149530 177862 179436 193230 224295 266793 269154 299060 355724 386460 444655 448590 533586 538308 672885 800379 889310 897180 1067172 1333965 1345770 1600758 1689689 1778620 2667930 2691540 3201516 3379378 4001895 5069067 5335860 6758756 8003790 8448445 10138134 15207201 16007580 16896890 20276268 25345335 30414402 33793780 50690670 60828804 76036005 101381340 152072010 304144020