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304213104 = 243313192851
BaseRepresentation
bin10010001000011…
…110110001110000
3210012102121221000
4102020132301300
51110334304404
650104202000
710352524446
oct2210366160
9705377830
10304213104
111467a1898
1285a69300
134b044670
142c58cb96
151ba92339
hex1221ec70

304213104 has 160 divisors (see below), whose sum is σ = 990214400. Its totient is φ = 88646400.

The previous prime is 304213099. The next prime is 304213139. The reversal of 304213104 is 401312403.

304213104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3042131042 = 185091225290629632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105279 + ... + 108129.

It is an arithmetic number, because the mean of its divisors is an integer number (6188840).

Almost surely, 2304213104 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 304213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495107200).

304213104 is an abundant number, since it is smaller than the sum of its proper divisors (686001296).

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

304213104 is a wasteful number, since it uses less digits than its factorization.

304213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304213104 is about 17441.7058798731. The cubic root of 304213104 is about 672.5521609786.

Adding to 304213104 its reverse (401312403), we get a palindrome (705525507).

The spelling of 304213104 in words is "three hundred four million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2851 2964 3952 4104 4446 5616 5702 5928 6669 8208 8553 8892 11404 11856 13338 17106 17784 22808 25659 26676 34212 35568 37063 45616 51318 53352 54169 68424 74126 76977 102636 106704 108338 111189 136848 148252 153954 162507 205272 216676 222378 296504 307908 325014 333567 410544 433352 444756 487521 593008 615816 650028 667134 704197 866704 889512 975042 1000701 1231632 1300056 1334268 1408394 1462563 1779024 1950084 2001402 2112591 2600112 2668536 2816788 2925126 3900168 4002804 4225182 5337072 5633576 5850252 6337773 7800336 8005608 8450364 11267152 11700504 12675546 16011216 16900728 19013319 23401008 25351092 33801456 38026638 50702184 76053276 101404368 152106552 304213104