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348021734463 = 34138919918661
BaseRepresentation
bin1010001000001111011…
…01100011110000111111
31020021022020021220020000
411010013231203300333
521200222031000323
6423513505325343
734100205635154
oct5040755436077
91207266256200
10348021734463
11124660218157
1257547936853
1326a83a93cc0
1412bb6c3422b
1590bd535e43
hex5107b63c3f

348021734463 has 80 divisors (see below), whose sum is σ = 569041704000. Its totient is φ = 210685432320.

The previous prime is 348021734383. The next prime is 348021734477. The reversal of 348021734463 is 364437120843.

348021734463 is a `hidden beast` number, since 3 + 480 + 2 + 1 + 73 + 44 + 63 = 666.

It is not a de Polignac number, because 348021734463 - 216 = 348021668927 is a prime.

It is a super-3 number, since 3×3480217344633 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348021734483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18640353 + ... + 18659013.

It is an arithmetic number, because the mean of its divisors is an integer number (7113021300).

Almost surely, 2348021734463 is an apocalyptic number.

348021734463 is a deficient number, since it is larger than the sum of its proper divisors (221019969537).

348021734463 is a wasteful number, since it uses less digits than its factorization.

348021734463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974 (or 18965 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 348021734463 in words is "three hundred forty-eight billion, twenty-one million, seven hundred thirty-four thousand, four hundred sixty-three".

Divisors: 1 3 9 13 27 39 81 89 117 199 267 351 597 801 1053 1157 1791 2403 2587 3471 5373 7209 7761 10413 16119 17711 18661 23283 31239 53133 55983 69849 93717 159399 167949 209547 230243 242593 478197 503847 690729 727779 1434591 1511541 1660829 2072187 2183337 3713539 4982487 6216561 6550011 11140617 14947461 18649683 19650033 21590777 33421851 44842383 48276007 64772331 100265553 134527149 144828021 194316993 300796659 330504971 434484063 582950979 991514913 1303452189 1748852937 2974544739 3910356567 4296564623 8923634217 12889693869 26770902651 38669081607 116007244821 348021734463