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302303144 = 231113220327
BaseRepresentation
bin10010000001001…
…100011110101000
3210001211120221202
4102001030132220
51104342200034
645555223332
710330351163
oct2201143650
9701746852
10302303144
11145707910
12852a7b48
134a826200
142c212ada
151b81647e
hex1204c7a8

302303144 has 48 divisors (see below), whose sum is σ = 669604320. Its totient is φ = 126834240.

The previous prime is 302303143. The next prime is 302303159. The reversal of 302303144 is 441303203.

It is not an unprimeable number, because it can be changed into a prime (302303143) 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 11 ways as a sum of consecutive naturals, for example, 4709 + ... + 25035.

It is an arithmetic number, because the mean of its divisors is an integer number (13950090).

Almost surely, 2302303144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334802160).

302303144 is an abundant number, since it is smaller than the sum of its proper divisors (367301176).

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

302303144 is a wasteful number, since it uses less digits than its factorization.

302303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 302303144 is about 17386.8669978234. The cubic root of 302303144 is about 671.1416963955.

Adding to 302303144 its reverse (441303203), we get a palindrome (743606347).

The spelling of 302303144 in words is "three hundred two million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 20327 40654 81308 162616 223597 264251 447194 528502 894388 1057004 1788776 2114008 2906761 3435263 5813522 6870526 11627044 13741052 23254088 27482104 37787893 75575786 151151572 302303144