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3031422944 = 2511194383127
BaseRepresentation
bin1011010010101111…
…1101011111100000
321211021011020111212
42310223331133200
522202021013234
61220445525252
7135056445524
oct26453753740
97737136455
103031422944
111316182a20
12707273828
133940670b4
1420a865d84
1512b1ee5ce
hexb4afd7e0

3031422944 has 192 divisors, whose sum is σ = 7153090560. Its totient is φ = 1249758720.

The previous prime is 3031422943. The next prime is 3031423019. The reversal of 3031422944 is 4492241303.

Together with 4121667615 it forms a betrothed pair.

It is a super-3 number, since 3×30314229443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3031422944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031422943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23869409 + ... + 23869535.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 23031422944 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 3031422944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576545280).

3031422944 is an abundant number, since it is smaller than the sum of its proper divisors (4121667616).

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

3031422944 is a wasteful number, since it uses less digits than its factorization.

3031422944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3031422944 is about 55058.3594379636. The cubic root of 3031422944 is about 1447.2676159551.

The spelling of 3031422944 in words is "three billion, thirty-one million, four hundred twenty-two thousand, nine hundred forty-four".