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304056064 = 2813211433
BaseRepresentation
bin10010000111111…
…000011100000000
3210012010122111201
4102013320130000
51110314243224
650100550544
710351301554
oct2207703400
9705118451
10304056064
111466a4904
12859b2454
134acbb040
142c54b864
151ba60a44
hex121f8700

304056064 has 72 divisors (see below), whose sum is σ = 658225232. Its totient is φ = 139345920.

The previous prime is 304056059. The next prime is 304056073. The reversal of 304056064 is 460650403.

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 7 ways as a sum of consecutive naturals, for example, 701992 + ... + 702424.

Almost surely, 2304056064 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 304056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329112616).

304056064 is an abundant number, since it is smaller than the sum of its proper divisors (354169168).

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

304056064 is a wasteful number, since it uses less digits than its factorization.

304056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 304056064 is about 17437.2034455070. The cubic root of 304056064 is about 672.4364134220.

The spelling of 304056064 in words is "three hundred four million, fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 211 256 416 422 433 832 844 866 1664 1688 1732 2743 3328 3376 3464 5486 5629 6752 6928 10972 11258 13504 13856 21944 22516 27008 27712 43888 45032 54016 55424 87776 90064 91363 110848 175552 180128 182726 351104 360256 365452 702208 720512 730904 1187719 1441024 1461808 2375438 2923616 4750876 5847232 9501752 11694464 19003504 23388928 38007008 76014016 152028032 304056064