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3289096314 = 233722937997
BaseRepresentation
bin1100010000001011…
…1010000001111010
322111020000101221000
43010002322001322
523214002040224
61302212425430
7144335600040
oct30402720172
98436011830
103289096314
111438677819
12779618276
1340556534a
14232b7c390
15143b4c0c9
hexc40ba07a

3289096314 has 64 divisors (see below), whose sum is σ = 8389958400. Its totient is φ = 935613504.

The previous prime is 3289096303. The next prime is 3289096319. The reversal of 3289096314 is 4136909823.

It is a happy number.

3289096314 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 0 + 9 + 631 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3289096314.

It is not an unprimeable number, because it can be changed into a prime (3289096319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67564 + ... + 105560.

It is an arithmetic number, because the mean of its divisors is an integer number (131093100).

Almost surely, 23289096314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3289096314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194979200).

3289096314 is an abundant number, since it is smaller than the sum of its proper divisors (5100862086).

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

3289096314 is a wasteful number, since it uses less digits than its factorization.

3289096314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38244 (or 38238 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3289096314 is about 57350.6435360581. The cubic root of 3289096314 is about 1487.1639993767.

The spelling of 3289096314 in words is "three billion, two hundred eighty-nine million, ninety-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14427 28854 37997 43281 75994 86562 113991 227982 265979 341973 531958 683946 797937 1025919 1595874 2051838 2393811 4787622 7181433 8701313 14362866 17402626 26103939 52207878 60909191 78311817 121818382 156623634 182727573 234935451 365455146 469870902 548182719 1096365438 1644548157 3289096314