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338213320 = 23567126199
BaseRepresentation
bin10100001010001…
…011100111001000
3212120102000110021
4110022023213020
51143040311240
653321030224
711244523444
oct2412134710
9776360407
10338213320
11163a04745
1295325374
13550ba333
1432cbd824
151ea5b54a
hex1428b9c8

338213320 has 32 divisors (see below), whose sum is σ = 772344000. Its totient is φ = 133265088.

The previous prime is 338213287. The next prime is 338213329. The reversal of 338213320 is 23312833.

It is a happy number.

It is a super-2 number, since 2×3382133202 = 228776499650844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338213329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60420 + ... + 65779.

It is an arithmetic number, because the mean of its divisors is an integer number (24135750).

Almost surely, 2338213320 is an apocalyptic number.

It is an amenable number.

338213320 is an abundant number, since it is smaller than the sum of its proper divisors (434130680).

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

338213320 is a wasteful number, since it uses less digits than its factorization.

338213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126277 (or 126273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 338213320 is about 18390.5769349414. The cubic root of 338213320 is about 696.7284892317.

The spelling of 338213320 in words is "three hundred thirty-eight million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 126199 252398 504796 630995 1009592 1261990 2523980 5047960 8455333 16910666 33821332 42276665 67642664 84553330 169106660 338213320