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306330030 = 232537671373
BaseRepresentation
bin10010010000100…
…011100110101110
3210100102011210200
4102100203212232
51111410030110
650221414330
710406522316
oct2220434656
9710364720
10306330030
11147a08316
128670a3a6
134b606096
142c980446
151bd5e6c0
hex124239ae

306330030 has 96 divisors (see below), whose sum is σ = 830797344. Its totient is φ = 78236928.

The previous prime is 306330001. The next prime is 306330041. The reversal of 306330030 is 30033603.

306330030 is a `hidden beast` number, since 3 + 0 + 633 + 0 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 306329985 and 306330012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222424 + ... + 223796.

It is an arithmetic number, because the mean of its divisors is an integer number (8654139).

Almost surely, 2306330030 is an apocalyptic number.

306330030 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 306330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415398672).

306330030 is an abundant number, since it is smaller than the sum of its proper divisors (524467314).

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

306330030 is a wasteful number, since it uses less digits than its factorization.

306330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 306330030 is about 17502.2864220650. The cubic root of 306330030 is about 674.1085846182.

Adding to 306330030 its reverse (30033603), we get a palindrome (336363633).

The spelling of 306330030 in words is "three hundred six million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 67 74 90 111 134 185 201 222 333 335 370 402 555 603 666 670 1005 1110 1206 1373 1665 2010 2479 2746 3015 3330 4119 4958 6030 6865 7437 8238 12357 12395 13730 14874 20595 22311 24714 24790 37185 41190 44622 50801 61785 74370 91991 101602 111555 123570 152403 183982 223110 254005 275973 304806 457209 459955 508010 551946 762015 827919 914418 919910 1379865 1524030 1655838 2286045 2759730 3403667 4139595 4572090 6807334 8279190 10211001 17018335 20422002 30633003 34036670 51055005 61266006 102110010 153165015 306330030