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3030406944 = 2531712714621
BaseRepresentation
bin1011010010100000…
…0101011100100000
321211012020121211020
42310220011130200
522201241010234
61220412045440
7135045014445
oct26450053440
97735217736
103030406944
111315649654
12706a63880
13393a9c806
1420a67d9cc
1512b09d549
hexb4a05720

3030406944 has 96 divisors (see below), whose sum is σ = 8489650176. Its totient is φ = 943165440.

The previous prime is 3030406937. The next prime is 3030406949. The reversal of 3030406944 is 4496040303.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3030406949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199954 + ... + 214574.

It is an arithmetic number, because the mean of its divisors is an integer number (88433856).

Almost surely, 23030406944 is an apocalyptic number.

3030406944 is a gapful number since it is divisible by the number (34) 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 3030406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244825088).

3030406944 is an abundant number, since it is smaller than the sum of its proper divisors (5459243232).

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

3030406944 is a wasteful number, since it uses less digits than its factorization.

3030406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3030406944 is about 55049.1320912510. The cubic root of 3030406944 is about 1447.1059110144.

The spelling of 3030406944 in words is "three billion, thirty million, four hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 1016 1524 1632 2032 2159 3048 4064 4318 6096 6477 8636 12192 12954 14621 17272 25908 29242 34544 43863 51816 58484 69088 87726 103632 116968 175452 207264 233936 248557 350904 467872 497114 701808 745671 994228 1403616 1491342 1856867 1988456 2982684 3713734 3976912 5570601 5965368 7427468 7953824 11141202 11930736 14854936 22282404 23861472 29709872 31566739 44564808 59419744 63133478 89129616 94700217 126266956 178259232 189400434 252533912 378800868 505067824 757601736 1010135648 1515203472 3030406944