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2930839984 = 2417193171789
BaseRepresentation
bin1010111010110001…
…0001000110110000
321120020220002122001
42232230101012300
522000243334414
61202454023344
7132425504662
oct25654210660
97506802561
102930839984
111274423506
12699647b54
1337927b157
141db362532
15122482074
hexaeb111b0

2930839984 has 80 divisors (see below), whose sum is σ = 6352495200. Its totient is φ = 1301778432.

The previous prime is 2930839943. The next prime is 2930839987. The reversal of 2930839984 is 4899380392.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2930839987) 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, 1637362 + ... + 1639150.

It is an arithmetic number, because the mean of its divisors is an integer number (79406190).

Almost surely, 22930839984 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 2930839984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176247600).

2930839984 is an abundant number, since it is smaller than the sum of its proper divisors (3421655216).

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

2930839984 is a wasteful number, since it uses less digits than its factorization.

2930839984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The square root of 2930839984 is about 54137.2328808926. The cubic root of 2930839984 is about 1431.0804073724.

The spelling of 2930839984 in words is "two billion, nine hundred thirty million, eight hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 317 323 634 646 1268 1292 1789 2536 2584 3578 5072 5168 5389 6023 7156 10778 12046 14312 21556 24092 28624 30413 33991 43112 48184 60826 67982 86224 96368 102391 121652 135964 204782 243304 271928 409564 486608 543856 567113 577847 819128 1134226 1155694 1638256 2268452 2311388 4536904 4622776 9073808 9245552 9640921 10775147 19281842 21550294 38563684 43100588 77127368 86201176 154254736 172402352 183177499 366354998 732709996 1465419992 2930839984