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339344320 = 2657197769
BaseRepresentation
bin10100001110011…
…111101111000000
3212122112110220011
4110032133233000
51143333004240
653401154304
711260244020
oct2416375700
9778473804
10339344320
11164607457
129578b994
13553c5073
14330d5a80
151ebd16ea
hex1439fbc0

339344320 has 112 divisors (see below), whose sum is σ = 929396160. Its totient is φ = 115605504.

The previous prime is 339344251. The next prime is 339344377. The reversal of 339344320 is 23443933.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440896 + ... + 441664.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2339344320 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 339344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

339344320 is an abundant number, since it is smaller than the sum of its proper divisors (590051840).

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

339344320 is a wasteful number, since it uses less digits than its factorization.

339344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

The square root of 339344320 is about 18421.3007141190. The cubic root of 339344320 is about 697.5042552294.

The spelling of 339344320 in words is "three hundred thirty-nine million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 197 224 280 320 394 448 560 769 788 985 1120 1379 1538 1576 1970 2240 2758 3076 3152 3845 3940 5383 5516 6152 6304 6895 7690 7880 10766 11032 12304 12608 13790 15380 15760 21532 22064 24608 26915 27580 30760 31520 43064 44128 49216 53830 55160 61520 63040 86128 88256 107660 110320 123040 151493 172256 215320 220640 246080 302986 344512 430640 441280 605972 757465 861280 1060451 1211944 1514930 1722560 2120902 2423888 3029860 4241804 4847776 5302255 6059720 8483608 9695552 10604510 12119440 16967216 21209020 24238880 33934432 42418040 48477760 67868864 84836080 169672160 339344320