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308073841936 = 24724324612
BaseRepresentation
bin1000111101110101010…
…00011100010100010000
31002110012012021200201221
410132322220130110100
520021413400420221
6353305511334424
731154233310200
oct4367250342420
91073165250657
10308073841936
1110972071a243
124b859381414
1323088757183
1410ca754c400
1580313e3541
hex47baa1c510

308073841936 has 135 divisors (see below), whose sum is σ = 712413439173. Its totient is φ = 128681400960.

The previous prime is 308073841931. The next prime is 308073841967. The reversal of 308073841936 is 639148370803.

It is a happy number.

The square root of 308073841936 is 555044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98749291536 + 209324550400 = 314244^2 + 457520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (308073841931) 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 26 ways as a sum of consecutive naturals, for example, 668272746 + ... + 668273206.

Almost surely, 2308073841936 is an apocalyptic number.

308073841936 is the 555044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308073841936

308073841936 is an abundant number, since it is smaller than the sum of its proper divisors (404339597237).

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

308073841936 is an frugal number, since it uses more digits than its factorization.

308073841936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 308073841936 in words is "three hundred eight billion, seventy-three million, eight hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 461 602 688 784 922 1204 1844 1849 2107 2408 3227 3688 3698 4214 4816 6454 7376 7396 8428 12908 12943 14792 16856 19823 22589 25816 25886 29584 33712 39646 45178 51632 51772 79292 90356 90601 103544 138761 158584 180712 181202 207088 212521 277522 317168 361424 362404 425042 555044 724808 850084 852389 971327 1110088 1449616 1487647 1700168 1704778 1942654 2220176 2975294 3400336 3409556 3885308 5950588 5966723 6819112 7770616 9138403 10413529 11901176 11933446 13638224 15541232 18276806 20827058 23802352 23866892 36553612 41654116 41767061 47733784 63968821 73107224 83308232 83534122 95467568 127937642 146214448 166616464 167068244 255875284 334136488 392951329 447781747 511750568 668272976 785902658 895563494 1023501136 1571805316 1791126988 2750659303 3143610632 3582253976 5501318606 6287221264 7164507952 11002637212 19254615121 22005274424 38509230242 44010548848 77018460484 154036920968 308073841936