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304342016 = 2101141659
BaseRepresentation
bin10010001000111…
…110010000000000
3210012200011202112
4102020332100000
51110402421031
650111034452
710353602336
oct2210762000
9705604675
10304342016
1114687a730
1285b0ba28
134b08b244
142c5c3b56
151baba62b
hex1223e400

304342016 has 88 divisors (see below), whose sum is σ = 680914080. Its totient is φ = 134758400.

The previous prime is 304341991. The next prime is 304342021. The reversal of 304342016 is 610243403.

It is a happy number.

304342016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 304341982 and 304342000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461495 + ... + 462153.

It is an arithmetic number, because the mean of its divisors is an integer number (7737660).

Almost surely, 2304342016 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 304342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340457040).

304342016 is an abundant number, since it is smaller than the sum of its proper divisors (376572064).

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

304342016 is a wasteful number, since it uses less digits than its factorization.

304342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 304342016 is about 17445.4009985440. The cubic root of 304342016 is about 672.6471468064.

Adding to 304342016 its reverse (610243403), we get a palindrome (914585419).

The spelling of 304342016 in words is "three hundred four million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 656 659 704 902 1024 1312 1318 1408 1804 2624 2636 2816 3608 5248 5272 5632 7216 7249 10496 10544 11264 14432 14498 20992 21088 27019 28864 28996 41984 42176 54038 57728 57992 84352 108076 115456 115984 168704 216152 230912 231968 297209 337408 432304 461824 463936 594418 674816 864608 927872 1188836 1729216 1855744 2377672 3458432 3711488 4755344 6916864 7422976 9510688 13833728 19021376 27667456 38042752 76085504 152171008 304342016