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306131104 = 25172343569
BaseRepresentation
bin10010001111110…
…011000010100000
3210100001001221001
4102033303002200
51111332143404
650213241344
710405033336
oct2217630240
9710031831
10306131104
11147891914
1286633254
134b566686
142c92bb56
151bd207a4
hex123f30a0

306131104 has 96 divisors (see below), whose sum is σ = 682577280. Its totient is φ = 134356992.

The previous prime is 306131057. The next prime is 306131159. The reversal of 306131104 is 401131603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537732 + ... + 538300.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2306131104 is an apocalyptic number.

306131104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341288640).

306131104 is an abundant number, since it is smaller than the sum of its proper divisors (376446176).

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

306131104 is a wasteful number, since it uses less digits than its factorization.

306131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 306131104 is about 17496.6026416559. The cubic root of 306131104 is about 673.9626344461.

Adding to 306131104 its reverse (401131603), we get a palindrome (707262707).

The spelling of 306131104 in words is "three hundred six million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 43 46 68 86 92 136 172 184 272 344 368 391 544 569 688 731 736 782 989 1138 1376 1462 1564 1978 2276 2924 3128 3956 4552 5848 6256 7912 9104 9673 11696 12512 13087 15824 16813 18208 19346 23392 24467 26174 31648 33626 38692 48934 52348 67252 77384 97868 104696 134504 154768 195736 209392 222479 269008 309536 391472 415939 418784 444958 538016 562741 782944 831878 889916 1125482 1663756 1779832 2250964 3327512 3559664 4501928 6655024 7119328 9003856 9566597 13310048 18007712 19133194 38266388 76532776 153065552 306131104