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304241423200 = 255211132659453
BaseRepresentation
bin1000110110101100011…
…00111011001101100000
31002002022002220122120021
410123112030323031200
514441041301020300
6351433325323224
730660246266551
oct4332614731540
91062262818507
10304241423200
11108034396330
124ab69a06514
13228c777bb90
1410a2257c328
157da9c21d1a
hex46d633b360

304241423200 has 144 divisors (see below), whose sum is σ = 872577495216. Its totient is φ = 102122956800.

The previous prime is 304241423113. The next prime is 304241423203. The reversal of 304241423200 is 2324142403.

It is a happy number.

It is a super-2 number, since 2×3042414232002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304241423203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1215327 + ... + 1444126.

It is an arithmetic number, because the mean of its divisors is an integer number (6059565939).

Almost surely, 2304241423200 is an apocalyptic number.

It is an amenable number.

304241423200 is an abundant number, since it is smaller than the sum of its proper divisors (568336072016).

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

304241423200 is a wasteful number, since it uses less digits than its factorization.

304241423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659497 (or 2659484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 304241423200 its reverse (2324142403), we get a palindrome (306565565603).

The spelling of 304241423200 in words is "three hundred four billion, two hundred forty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400 2659453 5318906 10637812 13297265 21275624 26594530 29253983 34572889 42551248 53189060 58507966 66486325 69145778 85102496 106378120 117015932 132972650 138291556 146269915 172864445 212756240 234031864 265945300 276583112 292539830 345728890 380301779 425512480 468063728 531890600 553166224 585079660 691457780 731349575 760603558 864322225 936127456 1063781200 1106332448 1170159320 1382915560 1462699150 1521207116 1728644450 1901508895 2127562400 2340318640 2765831120 2925398300 3042414232 3457288900 3803017790 4680637280 5531662240 5850796600 6084828464 6914577800 7606035580 9507544475 11701593200 12169656928 13829155600 15212071160 19015088950 23403186400 27658311200 30424142320 38030177900 60848284640 76060355800 152120711600 304241423200