Search a number
-
+
3030345984 = 28312731069
BaseRepresentation
bin1011010010011111…
…0110100100000000
321211012010112012110
42310213312210000
522201232032414
61220410455320
7135044341641
oct26447664400
97735115173
103030345984
111315607876
12706a34540
13393a7ab43
1420a6656c8
1512b08a459
hexb49f6900

3030345984 has 72 divisors (see below), whose sum is σ = 8128906240. Its totient is φ = 1002129408.

The previous prime is 3030345977. The next prime is 3030346051. The reversal of 3030345984 is 4895430303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82002 + ... + 113070.

Almost surely, 23030345984 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 3030345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064453120).

3030345984 is an abundant number, since it is smaller than the sum of its proper divisors (5098560256).

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

3030345984 is a wasteful number, since it uses less digits than its factorization.

3030345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31215 (or 31201 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3030345984 is about 55048.5784012630. The cubic root of 3030345984 is about 1447.0962075686.

The spelling of 3030345984 in words is "three billion, thirty million, three hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 31069 32512 48768 62138 93207 97536 124276 186414 248552 372828 497104 745656 994208 1491312 1988416 2982624 3945763 3976832 5965248 7891526 7953664 11837289 11930496 15783052 23674578 23860992 31566104 47349156 63132208 94698312 126264416 189396624 252528832 378793248 505057664 757586496 1010115328 1515172992 3030345984