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314393589384 = 233717131840319
BaseRepresentation
bin1001001001100110101…
…00010111011010001000
31010001111122000010110020
410210303110113122020
520122334224330014
6400232545420440
731466652262650
oct4446324273210
91101448003406
10314393589384
11111373a92016
1250b2193a720
1323854b461c4
14113069d1360
1582a113b1a9
hex4933517688

314393589384 has 128 divisors (see below), whose sum is σ = 958368153600. Its totient is φ = 83897349120.

The previous prime is 314393589383. The next prime is 314393589457. The reversal of 314393589384 is 483985393413.

It is not an unprimeable number, because it can be changed into a prime (314393589383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46024 + ... + 794295.

It is an arithmetic number, because the mean of its divisors is an integer number (7487251200).

Almost surely, 2314393589384 is an apocalyptic number.

314393589384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314393589384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479184076800).

314393589384 is an abundant number, since it is smaller than the sum of its proper divisors (643974564216).

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

314393589384 is a wasteful number, since it uses less digits than its factorization.

314393589384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840483 (or 840479 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The spelling of 314393589384 in words is "three hundred fourteen billion, three hundred ninety-three million, five hundred eighty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 131 136 168 204 238 262 357 393 408 476 524 714 786 917 952 1048 1428 1572 1834 2227 2751 2856 3144 3668 4454 5502 6681 7336 8908 11004 13362 15589 17816 22008 26724 31178 46767 53448 62356 93534 124712 187068 374136 840319 1680638 2520957 3361276 5041914 5882233 6722552 10083828 11764466 14285423 17646699 20167656 23528932 28570846 35293398 42856269 47057864 57141692 70586796 85712538 99997961 110081789 114283384 141173592 171425076 199995922 220163578 299993883 330245367 342850152 399991844 440327156 599987766 660490734 770572523 799983688 880654312 1199975532 1320981468 1541145046 1871390413 2311717569 2399951064 2641962936 3082290092 3742780826 4623435138 5614171239 6164580184 7485561652 9246870276 11228342478 13099732891 14971123304 18493740552 22456684956 26199465782 39299198673 44913369912 52398931564 78598397346 104797863128 157196794692 314393589384