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340399012968 = 233272611581721
BaseRepresentation
bin1001111010000010101…
…11001011110001101000
31012112121222210112010200
410331001113023301220
521034114121403333
6420213244112200
733410255604300
oct4750127136150
91175558715120
10340399012968
111213a9406723
1255b7ab35660
132613a768401
14126926d8600
158cc4211c13
hex4f415cbc68

340399012968 has 144 divisors (see below), whose sum is σ = 1090012081860. Its totient is φ = 95662425600.

The previous prime is 340399012963. The next prime is 340399012997. The reversal of 340399012968 is 869210993043.

340399012968 is a `hidden beast` number, since 340 + 3 + 9 + 9 + 0 + 1 + 296 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278764992324 + 61634020644 = 527982^2 + 248262^2 .

It is not an unprimeable number, because it can be changed into a prime (340399012963) 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 35 ways as a sum of consecutive naturals, for example, 575653 + ... + 1006068.

Almost surely, 2340399012968 is an apocalyptic number.

It is an amenable number.

340399012968 is an abundant number, since it is smaller than the sum of its proper divisors (749613068892).

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

340399012968 is a wasteful number, since it uses less digits than its factorization.

340399012968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581808 (or 1581794 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 340399012968 in words is "three hundred forty billion, three hundred ninety-nine million, twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 588 732 854 882 1098 1176 1281 1464 1708 1764 2196 2562 2989 3416 3528 3843 4392 5124 5978 7686 8967 10248 11956 15372 17934 23912 26901 30744 35868 53802 71736 107604 215208 1581721 3163442 4745163 6326884 9490326 11072047 12653768 14235489 18980652 22144094 28470978 33216141 37961304 44288188 56941956 66432282 77504329 88576376 96484981 99648423 113883912 132864564 155008658 192969962 199296846 232512987 265729128 289454943 310017316 385939924 398593692 465025974 578909886 620034632 675394867 697538961 771879848 797187384 868364829 930051948 1157819772 1350789734 1395077922 1736729658 1860103896 2026184601 2315639544 2701579468 2790155844 3473459316 4052369202 4727764069 5403158936 5580311688 6078553803 6946918632 8104738404 9455528138 12157107606 14183292207 16209476808 18911056276 24314215212 28366584414 37822112552 42549876621 48628430424 56733168828 85099753242 113466337656 170199506484 340399012968