Search a number
-
+
307306304 = 2619247283
BaseRepresentation
bin10010010100010…
…001111101000000
3210102020202222222
4102110101331000
51112132300204
650254350212
710421026514
oct2224217500
9712222888
10307306304
11148514858
1286abb368
134b888566
142cb56144
151bea3abe
hex12511f40

307306304 has 84 divisors (see below), whose sum is σ = 659611584. Its totient is φ = 141965568.

The previous prime is 307306303. The next prime is 307306319. The reversal of 307306304 is 403603703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307306303) 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 11 ways as a sum of consecutive naturals, for example, 1085747 + ... + 1086029.

Almost surely, 2307306304 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 307306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329805792).

307306304 is an abundant number, since it is smaller than the sum of its proper divisors (352305280).

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

307306304 is a wasteful number, since it uses less digits than its factorization.

307306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 307306304 is about 17530.1541350896. The cubic root of 307306304 is about 674.8239533577.

The spelling of 307306304 in words is "three hundred seven million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 283 304 361 376 566 608 722 752 893 1132 1216 1444 1504 1786 2264 2888 3008 3572 4528 5377 5776 7144 9056 10754 11552 13301 14288 16967 18112 21508 23104 26602 28576 33934 43016 53204 57152 67868 86032 102163 106408 135736 172064 204326 212816 252719 271472 344128 408652 425632 505438 542944 817304 851264 1010876 1085888 1634608 2021752 3269216 4043504 4801661 6538432 8087008 9603322 16174016 19206644 38413288 76826576 153653152 307306304