Search a number
-
+
304243920 = 243253143317
BaseRepresentation
bin10010001000100…
…110010011010000
3210012111012012100
4102020212103100
51110341301140
650105000400
710353013341
oct2210462320
9705435170
10304243920
11146812a62
1285a83100
134b0556b6
142c59a0c8
151ba9b530
hex122264d0

304243920 has 240 divisors, whose sum is σ = 1082644992. Its totient is φ = 76446720.

The previous prime is 304243909. The next prime is 304243939. The reversal of 304243920 is 29342403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959602 + ... + 959918.

Almost surely, 2304243920 is an apocalyptic number.

304243920 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 304243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541322496).

304243920 is an abundant number, since it is smaller than the sum of its proper divisors (778401072).

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

304243920 is a wasteful number, since it uses less digits than its factorization.

304243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 304243920 is about 17442.5892573322. The cubic root of 304243920 is about 672.5748694762.

The spelling of 304243920 in words is "three hundred four million, two hundred forty-three thousand, nine hundred twenty".