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304241400 = 233352103547
BaseRepresentation
bin10010001000100…
…101101011111000
3210012111001202000
4102020211223320
51110341211100
650104541000
710353003111
oct2210455370
9705431660
10304241400
11146811081
1285a81760
134b0544c8
142c599208
151ba9a900
hex12225af8

304241400 has 192 divisors, whose sum is σ = 1060051200. Its totient is φ = 80196480.

The previous prime is 304241389. The next prime is 304241423. The reversal of 304241400 is 4142403.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555927 + ... + 556473.

It is an arithmetic number, because the mean of its divisors is an integer number (5521100).

Almost surely, 2304241400 is an apocalyptic number.

304241400 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 304241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530025600).

304241400 is an abundant number, since it is smaller than the sum of its proper divisors (755809800).

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

304241400 is a wasteful number, since it uses less digits than its factorization.

304241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304241400 is about 17442.5170202010. The cubic root of 304241400 is about 672.5730125304.

Adding to 304241400 its reverse (4142403), we get a palindrome (308383803).

The spelling of 304241400 in words is "three hundred four million, two hundred forty-one thousand, four hundred".