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302112144 = 243214091489
BaseRepresentation
bin10010000000011…
…101110110010000
3210001110212221200
4102000131312100
51104320042034
645551151200
710325624265
oct2200356620
9701425850
10302112144
11145597364
1285215500
134a78a2a9
142c1a326c
151b7c9a99
hex1201dd90

302112144 has 60 divisors (see below), whose sum is σ = 846662700. Its totient is φ = 100564992.

The previous prime is 302112133. The next prime is 302112163. The reversal of 302112144 is 441211203.

302112144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 276224400 = 5088^2 + 16620^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 202152 + ... + 203640.

It is an arithmetic number, because the mean of its divisors is an integer number (14111045).

Almost surely, 2302112144 is an apocalyptic number.

It is an amenable number.

302112144 is an abundant number, since it is smaller than the sum of its proper divisors (544550556).

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

302112144 is a wasteful number, since it uses less digits than its factorization.

302112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 302112144 is about 17381.3734785258. The cubic root of 302112144 is about 671.0003205689. Note that the first 3 decimals are identical.

Adding to 302112144 its reverse (441211203), we get a palindrome (743323347).

The spelling of 302112144 in words is "three hundred two million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1409 1489 2818 2978 4227 4467 5636 5956 8454 8934 11272 11912 12681 13401 16908 17868 22544 23824 25362 26802 33816 35736 50724 53604 67632 71472 101448 107208 202896 214416 2098001 4196002 6294003 8392004 12588006 16784008 18882009 25176012 33568016 37764018 50352024 75528036 100704048 151056072 302112144