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338933117 is a prime number
BaseRepresentation
bin10100001100111…
…011010101111101
3212121202120211102
4110030323111331
51143231324432
653344302445
711253612125
oct2414732575
9777676742
10338933117
11164356516
1295611a25
13552acb53
1433029c85
151eb4e962
hex1433b57d

338933117 has 2 divisors, whose sum is σ = 338933118. Its totient is φ = 338933116.

The previous prime is 338933107. The next prime is 338933143. The reversal of 338933117 is 711339833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336392281 + 2540836 = 18341^2 + 1594^2 .

It is a cyclic number.

It is not a de Polignac number, because 338933117 - 28 = 338932861 is a prime.

It is a super-2 number, since 2×3389331172 = 229751315598671378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338933107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169466558 + 169466559.

It is an arithmetic number, because the mean of its divisors is an integer number (169466559).

Almost surely, 2338933117 is an apocalyptic number.

It is an amenable number.

338933117 is a deficient number, since it is larger than the sum of its proper divisors (1).

338933117 is an equidigital number, since it uses as much as digits as its factorization.

338933117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 38.

The square root of 338933117 is about 18410.1362569645. The cubic root of 338933117 is about 697.2224060340. Note that the first 3 decimals are identical.

The spelling of 338933117 in words is "three hundred thirty-eight million, nine hundred thirty-three thousand, one hundred seventeen".