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3000335130 = 2325139726437
BaseRepresentation
bin1011001011010101…
…0111101100011010
321202002122211001100
42302311113230122
522121041211010
61213415332230
7134231266512
oct26265275432
97662584040
103000335130
1112aa67a211
126b8981076
1338a7a0c40
14206692842
1512860d2c0
hexb2d57b1a

3000335130 has 96 divisors (see below), whose sum is σ = 8487867024. Its totient is φ = 730902528.

The previous prime is 3000335089. The next prime is 3000335131. The reversal of 3000335130 is 315330003.

3000335130 is a `hidden beast` number, since 300 + 0 + 335 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1173542049 + 1826793081 = 34257^2 + 42741^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3000335131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100272 + ... + 126708.

Almost surely, 23000335130 is an apocalyptic number.

3000335130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000335130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243933512).

3000335130 is an abundant number, since it is smaller than the sum of its proper divisors (5487531894).

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

3000335130 is a wasteful number, since it uses less digits than its factorization.

3000335130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26560 (or 26557 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 3000335130 is about 54775.3149694276. The cubic root of 3000335130 is about 1442.3032728743.

Adding to 3000335130 its reverse (315330003), we get a palindrome (3315665133).

The spelling of 3000335130 in words is "three billion, three hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 97 117 130 194 195 234 291 390 485 582 585 873 970 1170 1261 1455 1746 2522 2910 3783 4365 6305 7566 8730 11349 12610 18915 22698 26437 37830 52874 56745 79311 113490 132185 158622 237933 264370 343681 396555 475866 687362 793110 1031043 1189665 1718405 2062086 2379330 2564389 3093129 3436810 5128778 5155215 6186258 7693167 10310430 12821945 15386334 15465645 23079501 25643890 30931290 33337057 38465835 46159002 66674114 76931670 100011171 115397505 166685285 200022342 230795010 300033513 333370570 500055855 600067026 1000111710 1500167565 3000335130