Search a number
-
+
3290188968 = 23321129314621
BaseRepresentation
bin1100010000011100…
…0100110010101000
322111022001220202200
43010013010302220
523214242021333
61302252100200
7144351100443
oct30407046250
98438056680
103290188968
111439253740
12779a64660
134058587a1
14232d8465a
15143cb5c13
hexc41c4ca8

3290188968 has 192 divisors, whose sum is σ = 10382860800. Its totient is φ = 931392000.

The previous prime is 3290188931. The next prime is 3290188991. The reversal of 3290188968 is 8698810923.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709698 + ... + 714318.

It is an arithmetic number, because the mean of its divisors is an integer number (54077400).

Almost surely, 23290188968 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 3290188968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191430400).

3290188968 is an abundant number, since it is smaller than the sum of its proper divisors (7092671832).

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

3290188968 is a wasteful number, since it uses less digits than its factorization.

3290188968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 3290188968 is about 57360.1688282034. The cubic root of 3290188968 is about 1487.3286622133.

The spelling of 3290188968 in words is "three billion, two hundred ninety million, one hundred eighty-eight thousand, nine hundred sixty-eight".