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306054060 = 2235131723081
BaseRepresentation
bin10010001111100…
…000001110101100
3210022220011020120
4102033200032230
51111322212220
650211444540
710404262614
oct2217401654
9708804216
10306054060
11147839a44
12865b6750
134b53a5a0
142c90ba44
151bd07a40
hex123e03ac

306054060 has 96 divisors (see below), whose sum is σ = 977199552. Its totient is φ = 70901760.

The previous prime is 306054017. The next prime is 306054061. The reversal of 306054060 is 60450603.

It is a self number, because there is not a number n which added to its sum of digits gives 306054060.

It is not an unprimeable number, because it can be changed into a prime (306054061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1720 + ... + 24800.

It is an arithmetic number, because the mean of its divisors is an integer number (10179162).

Almost surely, 2306054060 is an apocalyptic number.

306054060 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 306054060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488599776).

306054060 is an abundant number, since it is smaller than the sum of its proper divisors (671145492).

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

306054060 is a wasteful number, since it uses less digits than its factorization.

306054060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 306054060 is about 17494.4008185476. The cubic root of 306054060 is about 673.9060909880.

The spelling of 306054060 in words is "three hundred six million, fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 23081 46162 69243 92324 115405 138486 230810 276972 300053 346215 392377 461620 600106 692430 784754 900159 1177131 1200212 1384860 1500265 1569508 1800318 1961885 2354262 3000530 3600636 3923770 4500795 4708524 5100901 5885655 6001060 7847540 9001590 10201802 11771310 15302703 18003180 20403604 23542620 25504505 30605406 51009010 61210812 76513515 102018020 153027030 306054060