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3330915840 = 293257191087
BaseRepresentation
bin1100011010001001…
…1011111000000000
322121010201001112100
43012202123320000
523310203301330
61310305030400
7145354213620
oct30642337000
98533631470
103330915840
11145a24040a
1278b625400
13411118125
14238546880
1514765d060
hexc689be00

3330915840 has 480 divisors, whose sum is σ = 13890539520. Its totient is φ = 720617472.

The previous prime is 3330915829. The next prime is 3330915871. The reversal of 3330915840 is 485190333.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33309158402 = 22190000666325811200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3330915795 and 3330915804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3063777 + ... + 3064863.

It is an arithmetic number, because the mean of its divisors is an integer number (28938624).

Almost surely, 23330915840 is an apocalyptic number.

3330915840 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 3330915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945269760).

3330915840 is an abundant number, since it is smaller than the sum of its proper divisors (10559623680).

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

3330915840 is a wasteful number, since it uses less digits than its factorization.

3330915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3330915840 is about 57714.0870152167. The cubic root of 3330915840 is about 1493.4403693120.

The spelling of 3330915840 in words is "three billion, three hundred thirty million, nine hundred fifteen thousand, eight hundred forty".