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304123420432 = 241353165716649
BaseRepresentation
bin1000110110011110010…
…10110001111100010000
31002001222212212111012101
410123033022301330100
514440321043423212
6351413512210144
730654314264266
oct4331712617420
91061885774171
10304123420432
11107a83819087
124ab36399954
13228a91a4060
1410a10a22436
157d9e6b3157
hex46cf2b1f10

304123420432 has 80 divisors (see below), whose sum is σ = 646967185200. Its totient is φ = 137624887296.

The previous prime is 304123420373. The next prime is 304123420457. The reversal of 304123420432 is 234024321403.

It can be written as a sum of positive squares in 8 ways, for example, as 306390016 + 303817030416 = 17504^2 + 551196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 304123420432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18258444 + ... + 18275092.

It is an arithmetic number, because the mean of its divisors is an integer number (8087089815).

Almost surely, 2304123420432 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 304123420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323483592600).

304123420432 is an abundant number, since it is smaller than the sum of its proper divisors (342843764768).

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

304123420432 is a wasteful number, since it uses less digits than its factorization.

304123420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 304123420432 its reverse (234024321403), we get a palindrome (538147741835).

The spelling of 304123420432 in words is "three hundred four billion, one hundred twenty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 1657 2756 3314 5512 6628 11024 13256 16649 21541 26512 33298 43082 66596 86164 87821 133192 172328 175642 216437 266384 344656 351284 432874 702568 865748 882397 1141673 1405136 1731496 1764794 2283346 3462992 3529588 4566692 7059176 9133384 11471161 14118352 18266768 22942322 27587393 45884644 55174786 91769288 110349572 183538576 220699144 358636109 441398288 717272218 1434544436 1462131829 2869088872 2924263658 5738177744 5848527316 11697054632 19007713777 23394109264 38015427554 76030855108 152061710216 304123420432