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3030418080 = 2532513715361
BaseRepresentation
bin1011010010100000…
…1000001010100000
321211012021012002200
42310220020022200
522201241334310
61220412213200
7135045062064
oct26450101240
97735235080
103030418080
111315656a58
12706a6a200
13393aa48c1
1420a683aa4
1512b0a19c0
hexb4a082a0

3030418080 has 144 divisors (see below), whose sum is σ = 10417463784. Its totient is φ = 802160640.

The previous prime is 3030418057. The next prime is 3030418087. The reversal of 3030418080 is 808140303.

It can be written as a sum of positive squares in 4 ways, for example, as 2799256464 + 231161616 = 52908^2 + 15204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3030418087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189600 + ... + 204960.

Almost surely, 23030418080 is an apocalyptic number.

3030418080 is a gapful number since it is divisible by the number (30) 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 3030418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208731892).

3030418080 is an abundant number, since it is smaller than the sum of its proper divisors (7387045704).

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

3030418080 is a wasteful number, since it uses less digits than its factorization.

3030418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15519 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3030418080 is about 55049.2332371669. The cubic root of 3030418080 is about 1447.1076835983.

Adding to 3030418080 its reverse (808140303), we get a palindrome (3838558383).

It can be divided in two parts, 30304 and 18080, that added together give a palindrome (48384).

The spelling of 3030418080 in words is "three billion, thirty million, four hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 137 144 160 180 240 274 288 360 411 480 548 685 720 822 1096 1233 1370 1440 1644 2055 2192 2466 2740 3288 4110 4384 4932 5480 6165 6576 8220 9864 10960 12330 13152 15361 16440 19728 21920 24660 30722 32880 39456 46083 49320 61444 65760 76805 92166 98640 122888 138249 153610 184332 197280 230415 245776 276498 307220 368664 460830 491552 552996 614440 691245 737328 921660 1105992 1228880 1382490 1474656 1843320 2104457 2211984 2457760 2764980 3686640 4208914 4423968 5529960 6313371 7373280 8417828 10522285 11059920 12626742 16835656 18940113 21044570 22119840 25253484 31566855 33671312 37880226 42089140 50506968 63133710 67342624 75760452 84178280 94700565 101013936 126267420 151520904 168356560 189401130 202027872 252534840 303041808 336713120 378802260 505069680 606083616 757604520 1010139360 1515209040 3030418080