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304240320 = 26335231531
BaseRepresentation
bin10010001000100…
…101011011000000
3210012111000021000
4102020211123000
51110341142240
650104532000
710353000006
oct2210453300
9705430230
10304240320
1114681028a
1285a81000
134b053b77
142c598a76
151ba9a430
hex122256c0

304240320 has 224 divisors, whose sum is σ = 1120688640. Its totient is φ = 77552640.

The previous prime is 304240319. The next prime is 304240333. The reversal of 304240320 is 23042403.

304240320 is a `hidden beast` number, since 304 + 2 + 40 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304240293 and 304240302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197955 + ... + 199485.

Almost surely, 2304240320 is an apocalyptic number.

304240320 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 304240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560344320).

304240320 is an abundant number, since it is smaller than the sum of its proper divisors (816448320).

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

304240320 is a wasteful number, since it uses less digits than its factorization.

304240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 304240320 is about 17442.4860613388. The cubic root of 304240320 is about 672.5722166934.

Adding to 304240320 its reverse (23042403), we get a palindrome (327282723).

The spelling of 304240320 in words is "three hundred four million, two hundred forty thousand, three hundred twenty".