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3034747296 = 25357127439
BaseRepresentation
bin1011010011100010…
…1001000110100000
321211111102010200000
42310320221012200
522203343403141
61221045100000
7135126632520
oct26470510640
97744363600
103034747296
111318043619
127083b7600
1339495c279
1420b08d680
1512b6595b6
hexb4e291a0

3034747296 has 288 divisors, whose sum is σ = 10332241920. Its totient is φ = 858283776.

The previous prime is 3034747283. The next prime is 3034747301. The reversal of 3034747296 is 6927474303.

It is a tau number, because it is divible by the number of its divisors (288).

It is an alternating number because its digits alternate between odd and even.

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, 6912645 + ... + 6913083.

It is an arithmetic number, because the mean of its divisors is an integer number (35875840).

Almost surely, 23034747296 is an apocalyptic number.

3034747296 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 3034747296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166120960).

3034747296 is an abundant number, since it is smaller than the sum of its proper divisors (7297494624).

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

3034747296 is a wasteful number, since it uses less digits than its factorization.

3034747296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3034747296 is about 55088.5405143393. The cubic root of 3034747296 is about 1447.7964621372.

The spelling of 3034747296 in words is "three billion, thirty-four million, seven hundred forty-seven thousand, two hundred ninety-six".