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338208049 is a prime number
BaseRepresentation
bin10100001010001…
…010010100110001
3212120101202020001
4110022022110301
51143040124144
653320550001
711244502204
oct2412122461
9776352201
10338208049
11163a00793
1295322301
13550b7b0a
1432cbb93b
151ea59bd4
hex1428a531

338208049 has 2 divisors, whose sum is σ = 338208050. Its totient is φ = 338208048.

The previous prime is 338208023. The next prime is 338208089. The reversal of 338208049 is 940802833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336465649 + 1742400 = 18343^2 + 1320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-338208049 is a prime.

It is a super-2 number, since 2×3382080492 = 228769368816772802, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338207999 and 338208017.

It is not a weakly prime, because it can be changed into another prime (338208089) 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 as a sum of consecutive naturals, namely, 169104024 + 169104025.

It is an arithmetic number, because the mean of its divisors is an integer number (169104025).

Almost surely, 2338208049 is an apocalyptic number.

It is an amenable number.

338208049 is a deficient number, since it is larger than the sum of its proper divisors (1).

338208049 is an equidigital number, since it uses as much as digits as its factorization.

338208049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 338208049 is about 18390.4336272966. The cubic root of 338208049 is about 696.7248697459.

The spelling of 338208049 in words is "three hundred thirty-eight million, two hundred eight thousand, forty-nine".