Search a number
-
+
305442304 = 29896703
BaseRepresentation
bin10010001101001…
…010111000000000
3210021202002001221
4102031022320000
51111143123204
650150404424
710366134226
oct2215127000
9707662057
10305442304
11147461362
1286360714
134b384cbb
142c7ccb16
151bc36654
hex1234ae00

305442304 has 40 divisors (see below), whose sum is σ = 617237280. Its totient is φ = 150982656.

The previous prime is 305442299. The next prime is 305442317. The reversal of 305442304 is 403244503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42217 + ... + 48919.

It is an arithmetic number, because the mean of its divisors is an integer number (15430932).

Almost surely, 2305442304 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 305442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308618640).

305442304 is an abundant number, since it is smaller than the sum of its proper divisors (311794976).

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

305442304 is an frugal number, since it uses more digits than its factorization.

305442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 305442304 is about 17476.9077356379. The cubic root of 305442304 is about 673.4567792052.

Adding to 305442304 its reverse (403244503), we get a palindrome (708686807).

The spelling of 305442304 in words is "three hundred five million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1424 2848 5696 6703 11392 13406 22784 26812 45568 53624 107248 214496 428992 596567 857984 1193134 1715968 2386268 3431936 4772536 9545072 19090144 38180288 76360576 152721152 305442304