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306422190 = 23451991901
BaseRepresentation
bin10010010000111…
…010000110101110
3210100120212020000
4102100322012232
51111421002230
650223405130
710410355104
oct2220720656
9710525200
10306422190
11147a70588
12867537a6
134b639009
142c9a5c74
151bd7bb60
hex1243a1ae

306422190 has 80 divisors (see below), whose sum is σ = 828511200. Its totient is φ = 81259200.

The previous prime is 306422159. The next prime is 306422191. The reversal of 306422190 is 91224603.

306422190 is a `hidden beast` number, since 3 + 0 + 642 + 2 + 19 + 0 = 666.

It is a super-2 number, since 2×3064221902 = 187789117048792200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306422191) 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 39 ways as a sum of consecutive naturals, for example, 160240 + ... + 162140.

It is an arithmetic number, because the mean of its divisors is an integer number (10356390).

Almost surely, 2306422190 is an apocalyptic number.

306422190 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 306422190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414255600).

306422190 is an abundant number, since it is smaller than the sum of its proper divisors (522089010).

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

306422190 is a wasteful number, since it uses less digits than its factorization.

306422190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 306422190 is about 17504.9190229489. The cubic root of 306422190 is about 674.1761801436.

Adding to 306422190 its reverse (91224603), we get a palindrome (397646793).

The spelling of 306422190 in words is "three hundred six million, four hundred twenty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 270 398 405 597 810 995 1194 1791 1901 1990 2985 3582 3802 5373 5703 5970 8955 9505 10746 11406 16119 17109 17910 19010 26865 28515 32238 34218 51327 53730 57030 80595 85545 102654 153981 161190 171090 256635 307962 378299 513270 756598 769905 1134897 1539810 1891495 2269794 3404691 3782990 5674485 6809382 10214073 11348970 17023455 20428146 30642219 34046910 51070365 61284438 102140730 153211095 306422190