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304232313042 = 23473110979397
BaseRepresentation
bin1000110110101011010…
…10001011000011010010
31002002021110202210210000
410123111222023003102
514441031433004132
6351432402150430
730660105664410
oct4332552130322
91062243683700
10304232313042
1110802a233779
124ab66952416
13228c590c358
1410a2128a2b0
157da902287c
hex46d5a8b0d2

304232313042 has 160 divisors (see below), whose sum is σ = 811612707840. Its totient is φ = 83346744960.

The previous prime is 304232312971. The next prime is 304232313043. The reversal of 304232313042 is 240313232403.

304232313042 is a `hidden beast` number, since 3 + 0 + 423 + 231 + 3 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 304232312997 and 304232313015.

It is not an unprimeable number, because it can be changed into a prime (304232313043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3792088 + ... + 3871484.

It is an arithmetic number, because the mean of its divisors is an integer number (5072579424).

Almost surely, 2304232313042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304232313042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405806353920).

304232313042 is an abundant number, since it is smaller than the sum of its proper divisors (507380394798).

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

304232313042 is a wasteful number, since it uses less digits than its factorization.

304232313042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79558 (or 79549 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 304232313042 its reverse (240313232403), we get a palindrome (544545545445).

The spelling of 304232313042 in words is "three hundred four billion, two hundred thirty-two million, three hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 109 126 162 186 189 217 218 279 327 378 434 558 567 651 654 763 837 981 1134 1302 1526 1674 1953 1962 2289 2511 2943 3379 3906 4578 5022 5859 5886 6758 6867 8829 10137 11718 13734 17577 17658 20274 20601 23653 30411 35154 41202 47306 60822 61803 70959 79397 91233 123606 141918 158794 182466 212877 238191 273699 425754 476382 547398 555779 638631 714573 1111558 1277262 1429146 1667337 1915893 2143719 2461307 3334674 3831786 4287438 4922614 5002011 6431157 7383921 8654273 10004022 12862314 14767842 15006033 17229149 17308546 22151763 25962819 30012066 34458298 44303526 45018099 51687447 51925638 60579911 66455289 77888457 90036198 103374894 121159822 132910578 155062341 155776914 181739733 199365867 233665371 268282463 310124682 363479466 398731734 465187023 467330742 536564926 545219199 700996113 804847389 930374046 1090438398 1395561069 1401992226 1609694778 1635657597 1877977241 2414542167 2791122138 3271315194 3755954482 4829084334 4906972791 5633931723 7243626501 9813945582 11267863446 14487253002 16901795169 21730879503 33803590338 43461759006 50705385507 101410771014 152116156521 304232313042