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330301224 = 2332111034049
BaseRepresentation
bin10011101011111…
…111111100101000
3212000112001002200
4103223333330220
51134024114344
652435300200
711120341221
oct2353777450
9760461080
10330301224
1115a4a0220
129274a660
1353579c16
1431c20248
151dee7069
hex13afff28

330301224 has 96 divisors (see below), whose sum is σ = 985608000. Its totient is φ = 99095040.

The previous prime is 330301193. The next prime is 330301241. The reversal of 330301224 is 422103033.

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 = 330301197 and 330301206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79552 + ... + 83600.

It is an arithmetic number, because the mean of its divisors is an integer number (10266750).

Almost surely, 2330301224 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 330301224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492804000).

330301224 is an abundant number, since it is smaller than the sum of its proper divisors (655306776).

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

330301224 is a wasteful number, since it uses less digits than its factorization.

330301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330301224 is about 18174.1911511902. The cubic root of 330301224 is about 691.2525202022.

Adding to 330301224 its reverse (422103033), we get a palindrome (752404257).

The spelling of 330301224 in words is "three hundred thirty million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4049 4532 6798 7416 8098 9064 10197 12147 13596 16196 20394 24294 27192 32392 36441 40788 44539 48588 72882 81576 89078 97176 133617 145764 178156 267234 291528 356312 400851 417047 534468 801702 834094 1068936 1251141 1603404 1668188 2502282 3206808 3336376 3753423 4587517 5004564 7506846 9175034 10009128 13762551 15013692 18350068 27525102 30027384 36700136 41287653 55050204 82575306 110100408 165150612 330301224