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338367348 = 2233112711051
BaseRepresentation
bin10100001010110…
…001001101110100
3212120200211202000
4110022301031310
51143110223343
653324215300
711246034504
oct2412611564
9776624660
10338367348
11163aaa440
129539a530
1355142487
1432d1da04
151ea8bed3
hex142b1374

338367348 has 96 divisors (see below), whose sum is σ = 961443840. Its totient is φ = 102060000.

The previous prime is 338367347. The next prime is 338367361. The reversal of 338367348 is 843763833.

It is a super-2 number, since 2×3383673482 = 228984924385106208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338367343) 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 31 ways as a sum of consecutive naturals, for example, 321423 + ... + 322473.

It is an arithmetic number, because the mean of its divisors is an integer number (10015040).

Almost surely, 2338367348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338367348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480721920).

338367348 is an abundant number, since it is smaller than the sum of its proper divisors (623076492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338367348 is a wasteful number, since it uses less digits than its factorization.

338367348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 338367348 is about 18394.7641463543. The cubic root of 338367348 is about 696.8342404469.

The spelling of 338367348 in words is "three hundred thirty-eight million, three hundred sixty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 271 297 396 542 594 813 1051 1084 1188 1626 2102 2439 2981 3153 3252 4204 4878 5962 6306 7317 8943 9459 9756 11561 11924 12612 14634 17886 18918 23122 26829 28377 29268 34683 35772 37836 46244 53658 56754 69366 80487 104049 107316 113508 138732 160974 208098 284821 312147 321948 416196 569642 624294 854463 1139284 1248588 1708926 2563389 3133031 3417852 5126778 6266062 7690167 9399093 10253556 12532124 15380334 18798186 28197279 30760668 37596372 56394558 84591837 112789116 169183674 338367348