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338083313 is a prime number
BaseRepresentation
bin10100001001101…
…011110111110001
3212120011102010012
4110021223313301
51143022131223
653314144305
711243442431
oct2411536761
9776142105
10338083313
11163925aa7
1295282095
13550730c9
1432c882c1
151ea32c78
hex1426bdf1

338083313 has 2 divisors, whose sum is σ = 338083314. Its totient is φ = 338083312.

The previous prime is 338083309. The next prime is 338083337. The reversal of 338083313 is 313380833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251444449 + 86638864 = 15857^2 + 9308^2 .

It is a cyclic number.

It is not a de Polignac number, because 338083313 - 22 = 338083309 is a prime.

It is a super-2 number, since 2×3380833132 = 228600653058111938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338083313.

It is not a weakly prime, because it can be changed into another prime (338083373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169041656 + 169041657.

It is an arithmetic number, because the mean of its divisors is an integer number (169041657).

Almost surely, 2338083313 is an apocalyptic number.

It is an amenable number.

338083313 is a deficient number, since it is larger than the sum of its proper divisors (1).

338083313 is an equidigital number, since it uses as much as digits as its factorization.

338083313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 338083313 is about 18387.0419861380. The cubic root of 338083313 is about 696.6392051577.

The spelling of 338083313 in words is "three hundred thirty-eight million, eighty-three thousand, three hundred thirteen".