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304240233540 = 2235101223225133
BaseRepresentation
bin1000110110101100010…
…00011000110001000100
31002002022000200012122210
410123112020120301010
514441040444433130
6351433244023420
730660233213265
oct4332610306104
91062260605583
10304240233540
11108033753541
124ab69531b70
13228c7453539
1410a2234c96c
157da9a895b0
hex46d6218c44

304240233540 has 96 divisors (see below), whose sum is σ = 864168754176. Its totient is φ = 79966886400.

The previous prime is 304240233529. The next prime is 304240233547. The reversal of 304240233540 is 45332042403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304240233498 and 304240233507.

It is not an unprimeable number, because it can be changed into a prime (304240233547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238814 + ... + 1463946.

It is an arithmetic number, because the mean of its divisors is an integer number (9001757856).

Almost surely, 2304240233540 is an apocalyptic number.

304240233540 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 304240233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432084377088).

304240233540 is an abundant number, since it is smaller than the sum of its proper divisors (559928520636).

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

304240233540 is a wasteful number, since it uses less digits than its factorization.

304240233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225469 (or 225467 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 304240233540 its reverse (45332042403), we get a palindrome (349572275943).

The spelling of 304240233540 in words is "three hundred four billion, two hundred forty million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 223 303 404 446 505 606 669 892 1010 1115 1212 1338 1515 2020 2230 2676 3030 3345 4460 6060 6690 13380 22523 45046 67569 90092 112615 135138 225133 225230 270276 337845 450266 450460 675399 675690 900532 1125665 1350798 1351380 2251330 2701596 3376995 4502660 6753990 13507980 22738433 45476866 50204659 68215299 90953732 100409318 113692165 136430598 150613977 200818636 227384330 251023295 272861196 301227954 341076495 454768660 502046590 602455908 682152990 753069885 1004093180 1364305980 1506139770 3012279540 5070670559 10141341118 15212011677 20282682236 25353352795 30424023354 50706705590 60848046708 76060058385 101413411180 152120116770 304240233540