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304240806 = 233171917443
BaseRepresentation
bin10010001000100…
…101100010100110
3210012111000221000
4102020211202212
51110341201211
650104534130
710353001302
oct2210454246
9705430830
10304240806
11146810691
1285a81346
134b05415c
142c598d02
151ba9a656
hex122258a6

304240806 has 64 divisors (see below), whose sum is σ = 753580800. Its totient is φ = 90419328.

The previous prime is 304240801. The next prime is 304240813. The reversal of 304240806 is 608042403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 304240806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304240801) 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 31 ways as a sum of consecutive naturals, for example, 8721 + ... + 26163.

It is an arithmetic number, because the mean of its divisors is an integer number (11774700).

Almost surely, 2304240806 is an apocalyptic number.

It is a pronic number, being equal to 17442×17443.

It is a practical number, because each smaller number is the sum of distinct divisors of 304240806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376790400).

304240806 is an abundant number, since it is smaller than the sum of its proper divisors (449339994).

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

304240806 is a wasteful number, since it uses less digits than its factorization.

304240806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490 (or 17484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 304240806 is about 17442.4999928336. The cubic root of 304240806 is about 672.5725748203.

The spelling of 304240806 in words is "three hundred four million, two hundred forty thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8721 17442 17443 34886 52329 104658 156987 296531 313974 331417 470961 593062 662834 889593 941922 994251 1779186 1988502 2668779 2982753 5337558 5634089 5965506 8006337 8948259 11268178 16012674 16902267 17896518 33804534 50706801 101413602 152120403 304240806