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349639237809 = 321971012
BaseRepresentation
bin1010001011010000001…
…11110110000010110001
31020102110221220120200100
411011220013312002301
521212030121102214
6424342210143013
734155246325311
oct5055007660261
91212427816610
10349639237809
11125310264384
1257919581a69
1326c80c17984
1412ccb9a3441
159165541309
hex51681f60b1

349639237809 has 9 divisors (see below), whose sum is σ = 505037016939. Its totient is φ = 233091642600.

The previous prime is 349639237799. The next prime is 349639237817. The reversal of 349639237809 is 908732936943.

The square root of 349639237809 is 591303.

It is a perfect power (a square), and thus also a powerful number.

349639237809 is a `hidden beast` number, since 3 + 496 + 39 + 2 + 37 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247558987809 + 102080250000 = 497553^2 + 319500^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 349639237809 - 27 = 349639237681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349639237009) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1675359 + ... + 1872459.

Almost surely, 2349639237809 is an apocalyptic number.

349639237809 is the 591303-rd square number.

349639237809 is the 295652-nd centered octagonal number.

It is an amenable number.

349639237809 is a deficient number, since it is larger than the sum of its proper divisors (155397779130).

349639237809 is an frugal number, since it uses more digits than its factorization.

349639237809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394208 (or 197104 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 349639237809 in words is "three hundred forty-nine billion, six hundred thirty-nine million, two hundred thirty-seven thousand, eight hundred nine".

Divisors: 1 3 9 197101 591303 1773909 38848804201 116546412603 349639237809