Search a number
-
+
304340000 = 255415217
BaseRepresentation
bin10010001000111…
…101110000100000
3210012200001222212
4102020331300200
51110402340000
650111021252
710353563426
oct2210756040
9705601885
10304340000
11146879168
1285b0a828
134b08a353
142c5c3116
151bab9c35
hex1223dc20

304340000 has 60 divisors (see below), whose sum is σ = 748771254. Its totient is φ = 121728000.

The previous prime is 304339999. The next prime is 304340011. The reversal of 304340000 is 43403.

It can be written as a sum of positive squares in 5 ways, for example, as 27583504 + 276756496 = 5252^2 + 16636^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 12392 + ... + 27608.

Almost surely, 2304340000 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 304340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374385627).

304340000 is an abundant number, since it is smaller than the sum of its proper divisors (444431254).

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

304340000 is an equidigital number, since it uses as much as digits as its factorization.

304340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15247 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 304340000 is about 17445.3432181772. The cubic root of 304340000 is about 672.6456615698.

Adding to 304340000 its reverse (43403), we get a palindrome (304383403).

The spelling of 304340000 in words is "three hundred four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 15217 20000 30434 60868 76085 121736 152170 243472 304340 380425 486944 608680 760850 1217360 1521700 1902125 2434720 3043400 3804250 6086800 7608500 9510625 12173600 15217000 19021250 30434000 38042500 60868000 76085000 152170000 304340000