Search a number
-
+
304214200 = 23524093719
BaseRepresentation
bin10010001000011…
…111000010111000
3210012102200102121
4102020133002320
51110334323300
650104211024
710352530603
oct2210370270
9705380377
10304214200
111467a26a4
1285a69a74
134b045004
142c58d33a
151ba9281a
hex1221f0b8

304214200 has 48 divisors (see below), whose sum is σ = 709218000. Its totient is φ = 121355520.

The previous prime is 304214159. The next prime is 304214203. The reversal of 304214200 is 2412403.

304214200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304214203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79941 + ... + 83659.

It is an arithmetic number, because the mean of its divisors is an integer number (14775375).

Almost surely, 2304214200 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 304214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354609000).

304214200 is an abundant number, since it is smaller than the sum of its proper divisors (405003800).

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

304214200 is a wasteful number, since it uses less digits than its factorization.

304214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 304214200 is about 17441.7372987899. The cubic root of 304214200 is about 672.5529686539.

Adding to 304214200 its reverse (2412403), we get a palindrome (306626603).

The spelling of 304214200 in words is "three hundred four million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1636 2045 3272 3719 4090 7438 8180 10225 14876 16360 18595 20450 29752 37190 40900 74380 81800 92975 148760 185950 371900 743800 1521071 3042142 6084284 7605355 12168568 15210710 30421420 38026775 60842840 76053550 152107100 304214200