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304706368 = 2617280061
BaseRepresentation
bin10010001010010…
…111001101000000
3210020100200120001
4102022113031000
51111001100433
650122525344
710356650521
oct2212271500
9706320501
10304706368
11146aa944a
1286066854
134b188035
142c67a848
151bb3d57d
hex12297340

304706368 has 28 divisors (see below), whose sum is σ = 640221732. Its totient is φ = 143390720.

The previous prime is 304706357. The next prime is 304706377. The reversal of 304706368 is 863607403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 223562304 + 81144064 = 14952^2 + 9008^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 138943 + ... + 141118.

Almost surely, 2304706368 is an apocalyptic number.

It is an amenable number.

304706368 is an abundant number, since it is smaller than the sum of its proper divisors (335515364).

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

304706368 is a wasteful number, since it uses less digits than its factorization.

304706368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280090 (or 280080 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 304706368 is about 17455.8405125620. The cubic root of 304706368 is about 672.9154662010.

The spelling of 304706368 in words is "three hundred four million, seven hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 280061 560122 1120244 2240488 4480976 4761037 8961952 9522074 17923904 19044148 38088296 76176592 152353184 304706368