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334000243344 = 243191097014793
BaseRepresentation
bin1001101110000111111…
…01110100001010010000
31011221010001101100101010
410313003331310022100
520433013030241334
6413234304210520
733062560140255
oct4670375641220
91157101340333
10334000243344
11119715480369
1254894009a40
132565ab9c0b1
141224696542c
158a4c5aa0e9
hex4dc3f74290

334000243344 has 160 divisors (see below), whose sum is σ = 918077846400. Its totient is φ = 104335257600.

The previous prime is 334000243333. The next prime is 334000243373. The reversal of 334000243344 is 443342000433.

It is a super-2 number, since 2×3340002433442 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 69682612 + ... + 69687404.

It is an arithmetic number, because the mean of its divisors is an integer number (5737986540).

Almost surely, 2334000243344 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 334000243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459038923200).

334000243344 is an abundant number, since it is smaller than the sum of its proper divisors (584077603056).

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

334000243344 is a wasteful number, since it uses less digits than its factorization.

334000243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 334000243344 its reverse (443342000433), we get a palindrome (777342243777).

The spelling of 334000243344 in words is "three hundred thirty-four billion, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 114 152 218 228 304 327 436 456 654 701 872 912 1308 1402 1744 2071 2103 2616 2804 4142 4206 4793 5232 5608 6213 8284 8412 9586 11216 12426 13319 14379 16568 16824 19172 24852 26638 28758 33136 33648 38344 39957 49704 53276 57516 76409 76688 79914 91067 99408 106552 115032 152818 159828 182134 213104 229227 230064 273201 305636 319656 364268 458454 522437 546402 611272 639312 728536 916908 1044874 1092804 1222544 1451771 1457072 1567311 1833816 2089748 2185608 2903542 3134622 3359893 3667632 4179496 4355313 4371216 5807084 6269244 6719786 8358992 8710626 9926303 10079679 11614168 12538488 13439572 17421252 19852606 20159358 23228336 25076976 26879144 29778909 34842504 39705212 40318716 53758288 59557818 63837967 69685008 79410424 80637432 119115636 127675934 158820848 161274864 191513901 238231272 255351868 366228337 383027802 476462544 510703736 732456674 766055604 1021407472 1098685011 1464913348 1532111208 2197370022 2929826696 3064222416 4394740044 5859653392 6958338403 8789480088 13916676806 17578960176 20875015209 27833353612 41750030418 55666707224 83500060836 111333414448 167000121672 334000243344