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339014208 = 26313711913
BaseRepresentation
bin10100001101001…
…111001001000000
3212121220201001210
4110031033021000
51143241423313
653350130120
711254400421
oct2415171100
9777821053
10339014208
11164401435
1295650940
135530aa30
143304b648
151eb689c3
hex1434f240

339014208 has 112 divisors (see below), whose sum is σ = 980090496. Its totient is φ = 102789120.

The previous prime is 339014197. The next prime is 339014209. The reversal of 339014208 is 802410933.

It is a super-2 number, since 2×3390142082 = 229861266451734528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (339014209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176260 + ... + 178172.

It is an arithmetic number, because the mean of its divisors is an integer number (8750808).

Almost surely, 2339014208 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 339014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490045248).

339014208 is an abundant number, since it is smaller than the sum of its proper divisors (641076288).

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

339014208 is a wasteful number, since it uses less digits than its factorization.

339014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 339014208 is about 18412.3384717966. The cubic root of 339014208 is about 697.2780059452.

The spelling of 339014208 in words is "three hundred thirty-nine million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 142 156 192 208 213 284 312 416 426 568 624 832 852 923 1136 1248 1704 1846 1913 2272 2496 2769 3408 3692 3826 4544 5538 5739 6816 7384 7652 11076 11478 13632 14768 15304 22152 22956 24869 29536 30608 44304 45912 49738 59072 61216 74607 88608 91824 99476 122432 135823 149214 177216 183648 198952 271646 298428 367296 397904 407469 543292 596856 795808 814938 1086584 1193712 1591616 1629876 1765699 2173168 2387424 3259752 3531398 4346336 4774848 5297097 6519504 7062796 8692672 10594194 13039008 14125592 21188388 26078016 28251184 42376776 56502368 84753552 113004736 169507104 339014208