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340064000 = 285310627
BaseRepresentation
bin10100010001001…
…111011100000000
3212200220001002222
4110101033130000
51144024022000
653424430212
711266332143
oct2421173400
9780801088
10340064000
11164a59131
1295a78368
13555b7803
143324205a
151ecc4a85
hex1444f700

340064000 has 72 divisors (see below), whose sum is σ = 847221648. Its totient is φ = 136012800.

The previous prime is 340063991. The next prime is 340064027. The reversal of 340064000 is 460043.

It is a self number, because there is not a number n which added to its sum of digits gives 340064000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26687 + ... + 37313.

Almost surely, 2340064000 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 340064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423610824).

340064000 is an abundant number, since it is smaller than the sum of its proper divisors (507157648).

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

340064000 is an equidigital number, since it uses as much as digits as its factorization.

340064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 340064000 is about 18440.8242765881. The cubic root of 340064000 is about 697.9969950856.

The spelling of 340064000 in words is "three hundred forty million, sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 10627 16000 21254 32000 42508 53135 85016 106270 170032 212540 265675 340064 425080 531350 680128 850160 1062700 1328375 1360256 1700320 2125400 2656750 2720512 3400640 4250800 5313500 6801280 8501600 10627000 13602560 17003200 21254000 34006400 42508000 68012800 85016000 170032000 340064000