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304468065 = 35511219109
BaseRepresentation
bin10010001001011…
…101000001100001
3210012220120200000
4102021131001201
51110420434230
650113450213
710354635666
oct2211350141
9705816600
10304468065
11146956400
1285b70969
134b103725
142c617a6d
151bae2b60
hex1225d061

304468065 has 144 divisors (see below), whose sum is σ = 639038400. Its totient is φ = 138568320.

The previous prime is 304468057. The next prime is 304468069. The reversal of 304468065 is 560864403.

It is not a de Polignac number, because 304468065 - 23 = 304468057 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304468069) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2793231 + ... + 2793339.

Almost surely, 2304468065 is an apocalyptic number.

It is an amenable number.

304468065 is an abundant number, since it is smaller than the sum of its proper divisors (334570335).

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

304468065 is a wasteful number, since it uses less digits than its factorization.

304468065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 304468065 is about 17449.0132958858. The cubic root of 304468065 is about 672.7399971667.

The spelling of 304468065 in words is "three hundred four million, four hundred sixty-eight thousand, sixty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 109 121 135 165 171 209 243 285 297 327 363 405 495 513 545 605 627 855 891 981 1045 1089 1199 1215 1485 1539 1635 1815 1881 2071 2299 2565 2673 2943 3135 3267 3597 4455 4617 4905 5445 5643 5995 6213 6897 7695 8829 9405 9801 10355 10791 11495 13189 13365 14715 16335 16929 17985 18639 20691 22781 23085 26487 28215 29403 31065 32373 34485 39567 44145 49005 50787 53955 55917 62073 65945 68343 84645 93195 97119 103455 113905 118701 132435 147015 161865 167751 186219 197835 205029 250591 253935 279585 291357 310365 341715 356103 485595 503253 558657 593505 615087 751773 838755 931095 1025145 1068309 1252955 1456785 1780515 1845261 2255319 2516265 2793285 3075435 3204927 3758865 5341545 5535783 6765957 9226305 11276595 16024635 20297871 27678915 33829785 60893613 101489355 304468065