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345184427568 = 24364714277789
BaseRepresentation
bin1010000010111101001…
…10000101111000110000
31012222222111101202212110
411001132212011320300
521123414203140233
6422324152125320
733636664136331
oct5013646057060
91188874352773
10345184427568
11123434679522
1256a95696840
1326721003c96
14129c809c288
158ea43cc663
hex505e985e30

345184427568 has 80 divisors (see below), whose sum is σ = 893845290240. Its totient is φ = 114788391168.

The previous prime is 345184427519. The next prime is 345184427587. The reversal of 345184427568 is 865724481543.

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, 44313018 + ... + 44320806.

It is an arithmetic number, because the mean of its divisors is an integer number (11173066128).

Almost surely, 2345184427568 is an apocalyptic number.

It is an amenable number.

345184427568 is an abundant number, since it is smaller than the sum of its proper divisors (548660862672).

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

345184427568 is a wasteful number, since it uses less digits than its factorization.

345184427568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9868 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 345184427568 in words is "three hundred forty-five billion, one hundred eighty-four million, four hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 647 1294 1427 1941 2588 2854 3882 4281 5176 5708 7764 7789 8562 10352 11416 15528 15578 17124 22832 23367 31056 31156 34248 46734 62312 68496 93468 124624 186936 373872 923269 1846538 2769807 3693076 5039483 5539614 7386152 10078966 11079228 11114903 14772304 15118449 20157932 22158456 22229806 30236898 33344709 40315864 44316912 44459612 60473796 66689418 80631728 88919224 120947592 133378836 177838448 241895184 266757672 533515344 7191342241 14382684482 21574026723 28765368964 43148053446 57530737928 86296106892 115061475856 172592213784 345184427568