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306639769344 = 28327111171319
BaseRepresentation
bin1000111011001010010…
…01111000111100000000
31002022111020211020222020
410131211021320330000
520010444240104334
6352511322241440
731103551014426
oct4354511707400
91068436736866
10306639769344
11109055179287
124b519056280
1322bba608acc
1410bacccb116
157e9a56ce49
hex4765278f00

306639769344 has 144 divisors (see below), whose sum is σ = 820475335680. Its totient is φ = 101667778560.

The previous prime is 306639769327. The next prime is 306639769391. The reversal of 306639769344 is 443967936603.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 232478317 + ... + 232479635.

Almost surely, 2306639769344 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 306639769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410237667840).

306639769344 is an abundant number, since it is smaller than the sum of its proper divisors (513835566336).

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

306639769344 is a wasteful number, since it uses less digits than its factorization.

306639769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 60.

The spelling of 306639769344 in words is "three hundred six billion, six hundred thirty-nine million, seven hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1084 1117 1319 1626 2168 2234 2638 3252 3351 3957 4336 4468 5276 6504 6702 7914 8672 8936 10552 13008 13404 15828 17344 17872 21104 26016 26808 31656 34688 35744 42208 52032 53616 63312 69376 71488 84416 104064 107232 126624 142976 168832 208128 214464 253248 285952 302707 337664 357449 428928 506496 605414 714898 857856 908121 1012992 1072347 1210828 1429796 1473323 1816242 2144694 2421656 2859592 2946646 3632484 4289388 4419969 4843312 5719184 5893292 7264968 8578776 8839938 9686624 11438368 11786584 14529936 17157552 17679876 19373248 22876736 23573168 29059872 34315104 35359752 38746496 45753472 47146336 58119744 68630208 70719504 77492992 91506944 94292672 116239488 137260416 141439008 188585344 232478976 274520832 282878016 377170688 399270533 565756032 798541066 1131512064 1197811599 1597082132 2395623198 3194164264 4791246396 6388328528 9582492792 12776657056 19164985584 25553314112 38329971168 51106628224 76659942336 102213256448 153319884672 306639769344