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349682330466 = 232771269331439
BaseRepresentation
bin1010001011010101011…
…00001110101101100010
31020102120221222220200200
411011222230032231202
521212122134033331
6424350345530030
734156311524010
oct5055254165542
91212527886620
10349682330466
11125332617547
125792baa3916
1326c89b250a1
1412cd35bd8b0
1591692045e6
hex516ab0eb62

349682330466 has 192 divisors, whose sum is σ = 886016102400. Its totient is φ = 97616534400.

The previous prime is 349682330449. The next prime is 349682330497. The reversal of 349682330466 is 664033286943.

349682330466 is a `hidden beast` number, since 3 + 496 + 82 + 3 + 30 + 46 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796542675 + ... + 796543113.

It is an arithmetic number, because the mean of its divisors is an integer number (4614667200).

Almost surely, 2349682330466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349682330466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443008051200).

349682330466 is an abundant number, since it is smaller than the sum of its proper divisors (536333771934).

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

349682330466 is a wasteful number, since it uses less digits than its factorization.

349682330466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 349682330466 in words is "three hundred forty-nine billion, six hundred eighty-two million, three hundred thirty thousand, four hundred sixty-six".