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3038340096 = 2103211174143
BaseRepresentation
bin1011010100011001…
…0110010000000000
321211202011200001200
42311012112100000
522210303340341
61221254101200
7135202315251
oct26506262000
97752150050
103038340096
11131a077980
1270964a800
1339561969c
1420b746b28
1512bb18db6
hexb5196400

3038340096 has 528 divisors, whose sum is σ = 10622259648. Its totient is φ = 825753600.

The previous prime is 3038340047. The next prime is 3038340131. The reversal of 3038340096 is 6900438303.

3038340096 is a `hidden beast` number, since 303 + 8 + 340 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×30383400962 = 18463021077922578432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3038340096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70659051 + ... + 70659093.

It is an arithmetic number, because the mean of its divisors is an integer number (20117916).

Almost surely, 23038340096 is an apocalyptic number.

3038340096 is a gapful number since it is divisible by the number (36) 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 3038340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311129824).

3038340096 is an abundant number, since it is smaller than the sum of its proper divisors (7583919552).

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

3038340096 is a wasteful number, since it uses less digits than its factorization.

3038340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3038340096 is about 55121.1401914003. The cubic root of 3038340096 is about 1448.3675796252.

Adding to 3038340096 its reverse (6900438303), we get a palindrome (9938778399).

The spelling of 3038340096 in words is "three billion, thirty-eight million, three hundred forty thousand, ninety-six".