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304226304 = 213312379
BaseRepresentation
bin10010001000100…
…010000000000000
3210012110022000220
4102020202000000
51110340220204
650104343040
710352611104
oct2210420000
9705408026
10304226304
111468007a8
1285a74a80
134b04a685
142c593904
151ba961d9
hex12222000

304226304 has 56 divisors (see below), whose sum is σ = 811286160. Its totient is φ = 101400576.

The previous prime is 304226287. The next prime is 304226311. The reversal of 304226304 is 403622403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18387 + ... + 30765.

Almost surely, 2304226304 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 304226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405643080).

304226304 is an abundant number, since it is smaller than the sum of its proper divisors (507059856).

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

304226304 is an equidigital number, since it uses as much as digits as its factorization.

304226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 304226304 is about 17442.0842791221. The cubic root of 304226304 is about 672.5618883265.

Adding to 304226304 its reverse (403622403), we get a palindrome (707848707).

The spelling of 304226304 in words is "three hundred four million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 12379 24576 24758 37137 49516 74274 99032 148548 198064 297096 396128 594192 792256 1188384 1584512 2376768 3169024 4753536 6338048 9507072 12676096 19014144 25352192 38028288 50704384 76056576 101408768 152113152 304226304