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338071217 = 1128931393
BaseRepresentation
bin10100001001101…
…000111010110001
3212120010210112012
4110021220322301
51143021234332
653314012305
711243362241
oct2411507261
9776123465
10338071217
11163917a00
1295277095
135506a753
1432c83b21
151ea2e3b2
hex14268eb1

338071217 has 12 divisors (see below), whose sum is σ = 375786180. Its totient is φ = 303874560.

The previous prime is 338071207. The next prime is 338071243. The reversal of 338071217 is 712170833.

It can be written as a sum of positive squares in 2 ways, for example, as 229098496 + 108972721 = 15136^2 + 10439^2 .

It is not a de Polignac number, because 338071217 - 210 = 338070193 is a prime.

It is a super-2 number, since 2×3380712172 = 228584295527722178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338071207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4928 + ... + 26465.

It is an arithmetic number, because the mean of its divisors is an integer number (31315515).

Almost surely, 2338071217 is an apocalyptic number.

It is an amenable number.

338071217 is a deficient number, since it is larger than the sum of its proper divisors (37714963).

338071217 is a wasteful number, since it uses less digits than its factorization.

338071217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31504 (or 31493 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 338071217 is about 18386.7130558999. The cubic root of 338071217 is about 696.6308969015.

The spelling of 338071217 in words is "three hundred thirty-eight million, seventy-one thousand, two hundred seventeen".

Divisors: 1 11 89 121 979 10769 31393 345323 2793977 3798553 30733747 338071217