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304221423324 = 223721398340487
BaseRepresentation
bin1000110110101010000…
…00101000011011011100
31002002020201021112220010
410123111000220123130
514441021141021244
6351431332523220
730656614301100
oct4332500503334
91062221245803
10304221423324
11108024076105
124ab63180510
13228c3598830
1410a1da53900
157da80c0eb9
hex46d50286dc

304221423324 has 144 divisors (see below), whose sum is σ = 890189250048. Its totient is φ = 80150620032.

The previous prime is 304221423323. The next prime is 304221423377. The reversal of 304221423324 is 423324122403.

It is a super-2 number, since 2×3042214233242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304221423291 and 304221423300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304221423323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7493809 + ... + 7534295.

It is an arithmetic number, because the mean of its divisors is an integer number (6181869792).

Almost surely, 2304221423324 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 304221423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445094625024).

304221423324 is an abundant number, since it is smaller than the sum of its proper divisors (585967826724).

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

304221423324 is a wasteful number, since it uses less digits than its factorization.

304221423324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41504 (or 41495 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 304221423324 its reverse (423324122403), we get a palindrome (727545545727).

The spelling of 304221423324 in words is "three hundred four billion, two hundred twenty-one million, four hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 983 1092 1274 1911 1966 2548 2949 3822 3932 5898 6881 7644 11796 12779 13762 20643 25558 27524 38337 40487 41286 48167 51116 76674 80974 82572 89453 96334 121461 144501 153348 161948 178906 192668 242922 268359 283409 289002 357812 485844 526331 536718 566818 578004 626171 850227 1052662 1073436 1133636 1252342 1578993 1700454 1878513 1983863 2105324 2504684 3157986 3400908 3684317 3757026 3967726 5951589 6315972 7368634 7514052 7935452 11052951 11903178 14737268 22105902 23806356 25790219 39798721 44211804 51580438 77370657 79597442 103160876 119396163 154741314 159194884 238792326 278591047 309482628 477584652 517383373 557182094 835773141 1034766746 1114364188 1552150119 1671546282 1950137329 2069533492 3104300238 3343092564 3621683611 3900274658 5850411987 6208600476 7243367222 7800549316 10865050833 11700823974 14486734444 21730101666 23401647948 25351785277 43460203332 50703570554 76055355831 101407141108 152110711662 304221423324