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3030116040 = 2334571729271
BaseRepresentation
bin1011010010011011…
…1110011011001000
321211011200211210000
42310212332123020
522201202203130
61220401523000
7135042363360
oct26446763310
97734624700
103030116040
111315470036
12706943460
133939ca293
1420a6059a0
1512b042260
hexb49be6c8

3030116040 has 640 divisors, whose sum is σ = 12796185600. Its totient is φ = 627056640.

The previous prime is 3030116017. The next prime is 3030116051. The reversal of 3030116040 is 406110303.

3030116040 is a `hidden beast` number, since 30 + 30 + 1 + 1 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11181105 + ... + 11181375.

It is an arithmetic number, because the mean of its divisors is an integer number (19994040).

Almost surely, 23030116040 is an apocalyptic number.

3030116040 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 3030116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398092800).

3030116040 is an abundant number, since it is smaller than the sum of its proper divisors (9766069560).

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

3030116040 is a wasteful number, since it uses less digits than its factorization.

3030116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3030116040 is about 55046.4898063446. The cubic root of 3030116040 is about 1447.0596045417.

Adding to 3030116040 its reverse (406110303), we get a palindrome (3436226343).

The spelling of 3030116040 in words is "three billion, thirty million, one hundred sixteen thousand, forty".