Search a number
-
+
304308400 = 245211233197
BaseRepresentation
bin10010001000110…
…110000010110000
3210012121110122111
4102020312002300
51110400332100
650110215104
710353402334
oct2210660260
9705543574
10304308400
11146857450
1285ab4494
134b078b56
142c5b57c4
151bab06ba
hex122360b0

304308400 has 240 divisors, whose sum is σ = 867944448. Its totient is φ = 101376000.

The previous prime is 304308379. The next prime is 304308401. The reversal of 304308400 is 4803403.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (304308401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3137152 + ... + 3137248.

Almost surely, 2304308400 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 304308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

304308400 is an abundant number, since it is smaller than the sum of its proper divisors (563636048).

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

304308400 is a wasteful number, since it uses less digits than its factorization.

304308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 304308400 is about 17444.4375088450. The cubic root of 304308400 is about 672.6223802194.

The spelling of 304308400 in words is "three hundred four million, three hundred eight thousand, four hundred".