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330301441 is a prime number
BaseRepresentation
bin10011101100000…
…000000000000001
3212000112001101201
4103230000000001
51134024121231
652435301201
711120341651
oct2354000001
9760461351
10330301441
1115a4a03a8
129274a801
135357a052
1431c20361
151dee7161
hex13b00001

330301441 has 2 divisors, whose sum is σ = 330301442. Its totient is φ = 330301440.

The previous prime is 330301427. The next prime is 330301481. The reversal of 330301441 is 144103033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286794225 + 43507216 = 16935^2 + 6596^2 .

It is a cyclic number.

It is not a de Polignac number, because 330301441 - 211 = 330299393 is a prime.

It is not a weakly prime, because it can be changed into another prime (330301481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165150720 + 165150721.

It is an arithmetic number, because the mean of its divisors is an integer number (165150721).

It is a Proth number, since it is equal to 315 ⋅ 220 + 1 and 315 < 220.

Almost surely, 2330301441 is an apocalyptic number.

It is an amenable number.

330301441 is a deficient number, since it is larger than the sum of its proper divisors (1).

330301441 is an equidigital number, since it uses as much as digits as its factorization.

330301441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 330301441 is about 18174.1971211936. The cubic root of 330301441 is about 691.2526715810.

Adding to 330301441 its reverse (144103033), we get a palindrome (474404474).

The spelling of 330301441 in words is "three hundred thirty million, three hundred one thousand, four hundred forty-one".