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338212680 = 233513216803
BaseRepresentation
bin10100001010001…
…011011101001000
3212120101222120120
4110022023131020
51143040301210
653321023240
711244521541
oct2412133510
9776358516
10338212680
11163a04213
1295324b20
13550b9c60
1432cbd4c8
151ea5b270
hex1428b748

338212680 has 64 divisors (see below), whose sum is σ = 1092692160. Its totient is φ = 83251968.

The previous prime is 338212657. The next prime is 338212681. The reversal of 338212680 is 86212833.

It is a super-2 number, since 2×3382126802 = 228775633825564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338212681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106842 + ... + 109961.

It is an arithmetic number, because the mean of its divisors is an integer number (17073315).

Almost surely, 2338212680 is an apocalyptic number.

338212680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338212680 is an abundant number, since it is smaller than the sum of its proper divisors (754479480).

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

338212680 is a wasteful number, since it uses less digits than its factorization.

338212680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216830 (or 216826 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 338212680 is about 18390.5595347178. The cubic root of 338212680 is about 696.7280497590.

The spelling of 338212680 in words is "three hundred thirty-eight million, two hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 216803 433606 650409 867212 1084015 1300818 1734424 2168030 2601636 2818439 3252045 4336060 5203272 5636878 6504090 8455317 8672120 11273756 13008180 14092195 16910634 22547512 26016360 28184390 33821268 42276585 56368780 67642536 84553170 112737560 169106340 338212680