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304801368 = 233291313343
BaseRepresentation
bin10010001010101…
…110011001011000
3210020112111212120
4102022232121120
51111012120433
650124541240
710360524504
oct2212563130
9706474776
10304801368
11147063863
12860b1820
134b1bc351
142c6a3304
151bb5b7b3
hex122ae658

304801368 has 64 divisors (see below), whose sum is σ = 794534400. Its totient is φ = 97319040.

The previous prime is 304801349. The next prime is 304801369. The reversal of 304801368 is 863108403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304801369) 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 15 ways as a sum of consecutive naturals, for example, 89505 + ... + 92847.

It is an arithmetic number, because the mean of its divisors is an integer number (12414600).

Almost surely, 2304801368 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 304801368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397267200).

304801368 is an abundant number, since it is smaller than the sum of its proper divisors (489733032).

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

304801368 is a wasteful number, since it uses less digits than its factorization.

304801368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 304801368 is about 17458.5614527658. The cubic root of 304801368 is about 672.9853918010.

The spelling of 304801368 in words is "three hundred four million, eight hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 131 174 232 262 348 393 524 696 786 1048 1572 3144 3343 3799 6686 7598 10029 11397 13372 15196 20058 22794 26744 30392 40116 45588 80232 91176 96947 193894 290841 387788 437933 581682 775576 875866 1163364 1313799 1751732 2326728 2627598 3503464 5255196 10510392 12700057 25400114 38100171 50800228 76200342 101600456 152400684 304801368