Search a number
-
+
304232223330 = 232574111778251
BaseRepresentation
bin1000110110101011010…
…01110101001001100010
31002002021110121020201100
410123111221311021202
514441031422121310
6351432400215230
730660105142020
oct4332551651142
91062243536640
10304232223330
1110802a182332
124ab6690a516
13228c58aa579
1410a21265710
157da9005ec0
hex46d5a75262

304232223330 has 96 divisors (see below), whose sum is σ = 926053285248. Its totient is φ = 67842720000.

The previous prime is 304232223293. The next prime is 304232223343. The reversal of 304232223330 is 33322232403.

304232223330 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 322 + 2 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 304232223294 and 304232223303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5863296 + ... + 5914955.

It is an arithmetic number, because the mean of its divisors is an integer number (9646388388).

Almost surely, 2304232223330 is an apocalyptic number.

304232223330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

304232223330 is an abundant number, since it is smaller than the sum of its proper divisors (621821061918).

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

304232223330 is a wasteful number, since it uses less digits than its factorization.

304232223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778312 (or 11778309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 304232223330 its reverse (33322232403), we get a palindrome (337554455733).

The spelling of 304232223330 in words is "three hundred four billion, two hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 8610 12915 25830 11778251 23556502 35334753 58891255 70669506 82447757 106004259 117782510 164895514 176673765 212008518 247343271 353347530 412238785 482908291 494686542 530021295 742029813 824477570 965816582 1060042590 1236716355 1448724873 1484059626 2414541455 2473432710 2897449746 3380358037 3710149065 4346174619 4829082910 6760716074 7243624365 7420298130 8692349238 10141074111 14487248730 16901790185 20282148222 21730873095 30423222333 33803580370 43461746190 50705370555 60846444666 101410741110 152116111665 304232223330