Search a number
-
+
3332054880 = 25365721153
BaseRepresentation
bin1100011010011011…
…0001111101100000
322121012211221000000
43012212301331200
523311001224010
61310345300000
7145366666500
oct30646617540
98535757000
103332054880
11145a949170
1278ba94600
1341142670b
14238761a00
151477d57c0
hexc69b1f60

3332054880 has 1008 divisors, whose sum is σ = 15260256144. Its totient is φ = 679311360.

The previous prime is 3332054839. The next prime is 3332054881. The reversal of 3332054880 is 884502333.

3332054880 is a `hidden beast` number, since 3 + 3 + 32 + 0 + 548 + 80 = 666.

3332054880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×33320548802 = 22205179446663628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332054881) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 62868934 + ... + 62868986.

It is an arithmetic number, because the mean of its divisors is an integer number (15139143).

Almost surely, 23332054880 is an apocalyptic number.

3332054880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630128072).

3332054880 is an abundant number, since it is smaller than the sum of its proper divisors (11928201264).

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

3332054880 is a wasteful number, since it uses less digits than its factorization.

3332054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3332054880 is about 57723.9541265149. The cubic root of 3332054880 is about 1493.6105822040.

The spelling of 3332054880 in words is "three billion, three hundred thirty-two million, fifty-four thousand, eight hundred eighty".