Search a number
-
+
3266085888 = 21034132233
BaseRepresentation
bin1100001010101100…
…1000010000000000
322102121201100120000
43002223020100000
523142104222023
61300031320000
7143636162202
oct30253102000
98377640500
103266085888
11142669073a
12771980000
13400869900
1422daac772
15141b04243
hexc2ac8400

3266085888 has 330 divisors, whose sum is σ = 10606452714. Its totient is φ = 1000636416.

The previous prime is 3266085887. The next prime is 3266085961. The reversal of 3266085888 is 8885806623.

3266085888 is a `hidden beast` number, since 3 + 26 + 608 + 5 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 79709184 + 3186376704 = 8928^2 + 56448^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3266085887) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14017420 + ... + 14017652.

Almost surely, 23266085888 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 3266085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303226357).

3266085888 is an abundant number, since it is smaller than the sum of its proper divisors (7340366826).

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

3266085888 is a wasteful number, since it uses less digits than its factorization.

3266085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 3266085888 is about 57149.6796841417. The cubic root of 3266085888 is about 1483.6878277209.

The spelling of 3266085888 in words is "three billion, two hundred sixty-six million, eighty-five thousand, eight hundred eighty-eight".