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304123345340 = 225192972271913
BaseRepresentation
bin1000110110011110010…
…10011111100110111100
31002001222212201200012012
410123033022133212330
514440321034022330
6351413510430352
730654313532333
oct4331712374674
91061885650165
10304123345340
11107a83777721
124ab363623b8
13228a9178b19
1410a10a02d1a
157d9e69ac95
hex46cf29f9bc

304123345340 has 144 divisors (see below), whose sum is σ = 684348188832. Its totient is φ = 113496809472.

The previous prime is 304123345327. The next prime is 304123345343. The reversal of 304123345340 is 43543321403.

It is a junction number, because it is equal to n+sod(n) for n = 304123345297 and 304123345306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304123345343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158976224 + ... + 158978136.

It is an arithmetic number, because the mean of its divisors is an integer number (4752417978).

Almost surely, 2304123345340 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 304123345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342174094416).

304123345340 is an abundant number, since it is smaller than the sum of its proper divisors (380224843492).

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

304123345340 is a wasteful number, since it uses less digits than its factorization.

304123345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 304123345340 its reverse (43543321403), we get a palindrome (347666666743).

The spelling of 304123345340 in words is "three hundred four billion, one hundred twenty-three million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 227 361 380 388 454 485 722 908 970 1135 1444 1805 1843 1913 1940 2270 3610 3686 3826 4313 4540 7220 7372 7652 8626 9215 9565 17252 18430 19130 21565 22019 35017 36347 36860 38260 43130 44038 70034 72694 81947 86260 88076 110095 140068 145388 163894 175085 181735 185561 220190 327788 350170 363470 371122 409735 418361 434251 440380 690593 700340 726940 742244 819470 836722 868502 927805 1381186 1638940 1673444 1737004 1855610 2091805 2171255 2762372 3452965 3525659 3711220 4183610 4342510 6905930 7051318 7948859 8250769 8367220 8685020 13811860 14102636 15897718 16501538 17628295 31795436 33003076 35256590 39744295 41253845 42122347 66987521 70513180 79488590 82507690 84244694 133975042 156764611 158977180 165015380 168489388 210611735 267950084 313529222 334937605 421223470 627058444 669875210 783823055 800324593 842446940 1339750420 1567646110 1600649186 3135292220 3201298372 4001622965 8003245930 15206167267 16006491860 30412334534 60824669068 76030836335 152061672670 304123345340