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338871330 = 23357193929
BaseRepresentation
bin10100001100101…
…100010000100010
3212121122110002000
4110030230100202
51143222340310
653343104430
711253234030
oct2414542042
9777573060
10338871330
11164314056
12955a2116
135528a9a5
1433011550
151eb3b4c0
hex1432c422

338871330 has 128 divisors (see below), whose sum is σ = 1039219200. Its totient is φ = 76972032.

The previous prime is 338871317. The next prime is 338871341. The reversal of 338871330 is 33178833.

338871330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388713302 = 229667556591937800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364306 + ... + 365234.

It is an arithmetic number, because the mean of its divisors is an integer number (8118900).

Almost surely, 2338871330 is an apocalyptic number.

338871330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338871330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519609600).

338871330 is an abundant number, since it is smaller than the sum of its proper divisors (700347870).

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

338871330 is a wasteful number, since it uses less digits than its factorization.

338871330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 338871330 is about 18408.4581103361. The cubic root of 338871330 is about 697.1800359254.

The spelling of 338871330 in words is "three hundred thirty-eight million, eight hundred seventy-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 193 210 270 315 378 386 579 630 929 945 965 1158 1351 1737 1858 1890 1930 2702 2787 2895 3474 4053 4645 5211 5574 5790 6503 6755 8106 8361 8685 9290 10422 12159 13006 13510 13935 16722 17370 19509 20265 24318 25083 26055 27870 32515 36477 39018 40530 41805 50166 52110 58527 60795 65030 72954 83610 97545 117054 121590 125415 175581 179297 182385 195090 250830 292635 351162 358594 364770 537891 585270 877905 896485 1075782 1255079 1613673 1755810 1792970 2510158 2689455 3227346 3765237 4841019 5378910 6275395 7530474 8068365 9682038 11295711 12550790 16136730 18826185 22591422 24205095 33887133 37652370 48410190 56478555 67774266 112957110 169435665 338871330