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3030478880 = 2551121312041
BaseRepresentation
bin1011010010100001…
…0111000000100000
321211012101021111112
42310220113000200
522201300311010
61220413402452
7135045434252
oct26450270040
97735337445
103030478880
111315698700
12706a99428
13393ac6490
1420a69bcd2
1512b0b4a05
hexb4a17020

3030478880 has 144 divisors (see below), whose sum is σ = 8475593112. Its totient is φ = 1017139200.

The previous prime is 3030478807. The next prime is 3030478883. The reversal of 3030478880 is 888740303.

It can be written as a sum of positive squares in 4 ways, for example, as 2089952656 + 940526224 = 45716^2 + 30668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030478883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245660 + ... + 257700.

Almost surely, 23030478880 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 3030478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237796556).

3030478880 is an abundant number, since it is smaller than the sum of its proper divisors (5445114232).

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

3030478880 is a wasteful number, since it uses less digits than its factorization.

3030478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 3030478880 is about 55049.7854673386. The cubic root of 3030478880 is about 1447.1173614223.

The spelling of 3030478880 in words is "three billion, thirty million, four hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 121 130 143 160 176 208 220 242 260 286 352 416 440 484 520 572 605 715 880 968 1040 1144 1210 1430 1573 1760 1936 2080 2288 2420 2860 3146 3872 4576 4840 5720 6292 7865 9680 11440 12041 12584 15730 19360 22880 24082 25168 31460 48164 50336 60205 62920 96328 120410 125840 132451 156533 192656 240820 251680 264902 313066 385312 481640 529804 626132 662255 782665 963280 1059608 1252264 1324510 1456961 1565330 1721863 1926560 2119216 2504528 2649020 2913922 3130660 3443726 4238432 5009056 5298040 5827844 6261320 6887452 7284805 8609315 10596080 11655688 12522640 13774904 14569610 17218630 18940493 21192160 23311376 25045280 27549808 29139220 34437260 37880986 46622752 55099616 58278440 68874520 75761972 94702465 116556880 137749040 151523944 189404930 233113760 275498080 303047888 378809860 606095776 757619720 1515239440 3030478880