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3130442304 = 2631121271061
BaseRepresentation
bin1011101010010110…
…1100001001000000
322002011110221112120
42322211230021000
522402343123204
61234344124240
7140401214643
oct27245541100
98064427476
103130442304
111367064700
12734466680
133ab726432
14219a7da5a
15134c5d6d9
hexba96c240

3130442304 has 168 divisors, whose sum is σ = 9184379904. Its totient is φ = 940262400.

The previous prime is 3130442257. The next prime is 3130442321. The reversal of 3130442304 is 4032440313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 2949934 + ... + 2950994.

It is an arithmetic number, because the mean of its divisors is an integer number (54668928).

Almost surely, 23130442304 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 3130442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592189952).

3130442304 is an abundant number, since it is smaller than the sum of its proper divisors (6053937600).

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

3130442304 is a wasteful number, since it uses less digits than its factorization.

3130442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3130442304 is about 55950.3557093250. The cubic root of 3130442304 is about 1462.8570912098.

Adding to 3130442304 its reverse (4032440313), we get a palindrome (7162882617).

The spelling of 3130442304 in words is "three billion, one hundred thirty million, four hundred forty-two thousand, three hundred four".