Search a number
-
+
3309741864 = 23331113831291
BaseRepresentation
bin1100010101000110…
…1010011100101000
322112122212022022000
43011101222130220
523234243214424
61304231131000
7145006225122
oct30521523450
98478768260
103309741864
111449299060
12784513a60
13409913550
142357d4212
151458793c9
hexc546a728

3309741864 has 256 divisors, whose sum is σ = 10939622400. Its totient is φ = 913939200.

The previous prime is 3309741859. The next prime is 3309741881. The reversal of 3309741864 is 4681479033.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563059 + ... + 2564349.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 23309741864 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 3309741864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469811200).

3309741864 is an abundant number, since it is smaller than the sum of its proper divisors (7629880536).

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

3309741864 is a wasteful number, since it uses less digits than its factorization.

3309741864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3309741864 is about 57530.3560218429. The cubic root of 3309741864 is about 1490.2691380561.

The spelling of 3309741864 in words is "three billion, three hundred nine million, seven hundred forty-one thousand, eight hundred sixty-four".