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338643214 = 27313223127
BaseRepresentation
bin10100001011110…
…100100100001110
3212121012212011021
4110023310210032
51143143040324
653334144354
711251264000
oct2413644416
9777185137
10338643214
11164178728
12954b20ba
135520ac00
1432d92370
151eae3ae4
hex142f490e

338643214 has 96 divisors (see below), whose sum is σ = 674611200. Its totient is φ = 127135008.

The previous prime is 338643209. The next prime is 338643223. The reversal of 338643214 is 412346833.

It is a super-2 number, since 2×3386432142 = 229358452776499592, 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 338643214.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2666419 + ... + 2666545.

It is an arithmetic number, because the mean of its divisors is an integer number (7027200).

Almost surely, 2338643214 is an apocalyptic number.

338643214 is a deficient number, since it is larger than the sum of its proper divisors (335967986).

338643214 is a wasteful number, since it uses less digits than its factorization.

338643214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 338643214 is about 18402.2611110700. The cubic root of 338643214 is about 697.0235619617.

The spelling of 338643214 in words is "three hundred thirty-eight million, six hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 7 13 14 23 26 46 49 91 98 127 161 169 182 254 299 322 338 343 598 637 686 889 1127 1183 1274 1651 1778 2093 2254 2366 2921 3302 3887 4186 4459 5842 6223 7774 7889 8281 8918 11557 12446 14651 15778 16562 20447 21463 23114 27209 29302 37973 40894 42926 43561 54418 57967 75946 80899 87122 102557 115934 143129 150241 161798 190463 205114 265811 286258 300482 380926 493649 531622 566293 987298 1001903 1051687 1132586 1333241 1860677 2003806 2103374 2666482 3455543 3721354 6911086 7361809 13024739 14723618 24188801 26049478 48377602 169321607 338643214