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304241320 = 23529416397
BaseRepresentation
bin10010001000100…
…101101010101000
3210012111001122001
4102020211222220
51110341210240
650104540344
710353002635
oct2210455250
9705431561
10304241320
11146811009
1285a816b4
134b054466
142c59918c
151ba9a89a
hex12225aa8

304241320 has 64 divisors (see below), whose sum is σ = 725533200. Its totient is φ = 114616320.

The previous prime is 304241303. The next prime is 304241323. The reversal of 304241320 is 23142403.

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 301439044 = 1674^2 + 17362^2 .

It is not an unprimeable number, because it can be changed into a prime (304241323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44362 + ... + 50758.

Almost surely, 2304241320 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 304241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362766600).

304241320 is an abundant number, since it is smaller than the sum of its proper divisors (421291880).

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

304241320 is a wasteful number, since it uses less digits than its factorization.

304241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 304241320 is about 17442.5147269538. The cubic root of 304241320 is about 672.5729535796.

Adding to 304241320 its reverse (23142403), we get a palindrome (327383723).

The spelling of 304241320 in words is "three hundred four million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 6397 9512 11890 12794 23780 25588 31985 47560 51176 63970 127940 185513 255880 262277 371026 524554 742052 927565 1049108 1311385 1484104 1855130 2098216 2622770 3710260 5245540 7420520 7606033 10491080 15212066 30424132 38030165 60848264 76060330 152120660 304241320