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348485587464 = 23373863536971
BaseRepresentation
bin1010001001000110101…
…11000001001000001000
31020022111120010001220210
411010203113001020020
521202144302244324
6424031515321120
734114540422240
oct5044327011010
91208446101823
10348485587464
11124879035843
12576571501a0
1326b28c01231
1412c1c69ab20
1590e910dd29
hex51235c1208

348485587464 has 64 divisors (see below), whose sum is σ = 995932707840. Its totient is φ = 99541350720.

The previous prime is 348485587447. The next prime is 348485587579. The reversal of 348485587464 is 464785584843.

It is a junction number, because it is equal to n+sod(n) for n = 348485587395 and 348485587404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380499 + ... + 917469.

It is an arithmetic number, because the mean of its divisors is an integer number (15561448560).

Almost surely, 2348485587464 is an apocalyptic number.

It is an amenable number.

348485587464 is an abundant number, since it is smaller than the sum of its proper divisors (647447120376).

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

348485587464 is a wasteful number, since it uses less digits than its factorization.

348485587464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540850 (or 540846 counting only the distinct ones).

The product of its digits is 412876800, while the sum is 66.

The spelling of 348485587464 in words is "three hundred forty-eight billion, four hundred eighty-five million, five hundred eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3863 7726 11589 15452 23178 27041 30904 46356 54082 81123 92712 108164 162246 216328 324492 536971 648984 1073942 1610913 2147884 3221826 3758797 4295768 6443652 7517594 11276391 12887304 15035188 22552782 30070376 45105564 90211128 2074318973 4148637946 6222956919 8297275892 12445913838 14520232811 16594551784 24891827676 29040465622 43560698433 49783655352 58080931244 87121396866 116161862488 174242793732 348485587464