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304520216 = 237112133457
BaseRepresentation
bin10010001001101…
…001110000011000
3210020000020012112
4102021221300120
51110424121331
650114531452
710355244020
oct2211516030
9706006175
10304520216
11146991600
1285b96b88
134b1213a0
142c62ca80
151bb0332b
hex12269c18

304520216 has 96 divisors (see below), whose sum is σ = 772655520. Its totient is φ = 109486080.

The previous prime is 304520189. The next prime is 304520231. The reversal of 304520216 is 612025403.

It is a junction number, because it is equal to n+sod(n) for n = 304520191 and 304520200.

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 23 ways as a sum of consecutive naturals, for example, 86360 + ... + 89816.

It is an arithmetic number, because the mean of its divisors is an integer number (8048495).

Almost surely, 2304520216 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 304520216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386327760).

304520216 is an abundant number, since it is smaller than the sum of its proper divisors (468135304).

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

304520216 is a wasteful number, since it uses less digits than its factorization.

304520216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 304520216 is about 17450.5076143933. The cubic root of 304520216 is about 672.7784052021.

Adding to 304520216 its reverse (612025403), we get a palindrome (916545619).

The spelling of 304520216 in words is "three hundred four million, five hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 242 286 308 364 484 572 616 728 847 968 1001 1144 1573 1694 2002 3146 3388 3457 4004 6292 6776 6914 8008 11011 12584 13828 22022 24199 27656 38027 44044 44941 48398 76054 88088 89882 96796 152108 179764 193592 266189 304216 314587 359528 418297 494351 532378 629174 836594 988702 1064756 1258348 1673188 1977404 2129512 2516696 2928079 3346376 3460457 3954808 5437861 5856158 6920914 10875722 11712316 13841828 21751444 23424632 27683656 38065027 43502888 76130054 152260108 304520216