Search a number
-
+
304014300 = 223524323567
BaseRepresentation
bin10010000111101…
…110001111011100
3210012001112012220
4102013232033130
51110311424200
650100025340
710351036032
oct2207561734
9705045186
10304014300
11146676497
1285992250
134aca5025
142c53a552
151ba534a0
hex121ee3dc

304014300 has 72 divisors (see below), whose sum is σ = 900109056. Its totient is φ = 79181760.

The previous prime is 304014289. The next prime is 304014313. The reversal of 304014300 is 3410403.

304014300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 304014300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117 + ... + 24683.

Almost surely, 2304014300 is an apocalyptic number.

304014300 is a gapful number since it is divisible by the number (30) 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 304014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450054528).

304014300 is an abundant number, since it is smaller than the sum of its proper divisors (596094756).

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

304014300 is a wasteful number, since it uses less digits than its factorization.

304014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23627 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304014300 is about 17436.0058499646. The cubic root of 304014300 is about 672.4056242314.

Adding to 304014300 its reverse (3410403), we get a palindrome (307424703).

The spelling of 304014300 in words is "three hundred four million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 23567 47134 70701 94268 117835 141402 235670 282804 353505 471340 589175 707010 1013381 1178350 1414020 1767525 2026762 2356700 3040143 3535050 4053524 5066905 6080286 7070100 10133810 12160572 15200715 20267620 25334525 30401430 50669050 60802860 76003575 101338100 152007150 304014300