Search a number
-
+
334006063688 = 231129971134789
BaseRepresentation
bin1001101110001000101…
…00000001001001001000
31011221010110100001101102
410313010110001021020
520433021023014223
6413235033040532
733062660461223
oct4670424011110
91157113301342
10334006063688
11119718796270
1254895b56148
132565c15939b
141224763c5ba
158a4cd59928
hex4dc4501248

334006063688 has 64 divisors (see below), whose sum is σ = 707485752000. Its totient is φ = 146433683200.

The previous prime is 334006063669. The next prime is 334006063693. The reversal of 334006063688 is 886360600433.

It is a super-2 number, since 2×3340060636882 (a number of 24 digits) contains 22 as substring.

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, 2410598 + ... + 2545386.

It is an arithmetic number, because the mean of its divisors is an integer number (11054464875).

Almost surely, 2334006063688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334006063688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353742876000).

334006063688 is an abundant number, since it is smaller than the sum of its proper divisors (373479688312).

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

334006063688 is a wasteful number, since it uses less digits than its factorization.

334006063688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135806 (or 135802 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 334006063688 in words is "three hundred thirty-four billion, six million, sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 971 1276 1942 2552 3884 7768 10681 21362 28159 42724 56318 85448 112636 134789 225272 269578 309749 539156 619498 1078312 1238996 1482679 2477992 2965358 3908881 5930716 7817762 11861432 15635524 31271048 42997691 85995382 130880119 171990764 261760238 343981528 523520476 1047040952 1439681309 2879362618 3795523451 5758725236 7591046902 11517450472 15182093804 30364187608 41750757961 83501515922 167003031844 334006063688