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340034000 = 24531773137
BaseRepresentation
bin10100010001001…
…000000111010000
3212200211111221212
4110101020013100
51144022042000
653424035252
711266145525
oct2421100720
9780744855
10340034000
11164a38639
1295a62b28
13555a6c67
143323514c
151ecbac35
hex144481d0

340034000 has 160 divisors (see below), whose sum is σ = 888934176. Its totient is φ = 125337600.

The previous prime is 340033999. The next prime is 340034029. The reversal of 340034000 is 430043.

It can be written as a sum of positive squares in 16 ways, for example, as 165688384 + 174345616 = 12872^2 + 13204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2481932 + ... + 2482068.

Almost surely, 2340034000 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 340034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444467088).

340034000 is an abundant number, since it is smaller than the sum of its proper divisors (548900176).

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

340034000 is a wasteful number, since it uses less digits than its factorization.

340034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 340034000 is about 18440.0108459838. The cubic root of 340034000 is about 697.9764690223.

Adding to 340034000 its reverse (430043), we get a palindrome (340464043).

The spelling of 340034000 in words is "three hundred forty million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 73 80 85 100 125 136 137 146 170 200 250 272 274 292 340 365 400 425 500 548 584 680 685 730 850 1000 1096 1168 1241 1360 1370 1460 1700 1825 2000 2125 2192 2329 2482 2740 2920 3400 3425 3650 4250 4658 4964 5480 5840 6205 6800 6850 7300 8500 9125 9316 9928 10001 10960 11645 12410 13700 14600 17000 17125 18250 18632 19856 20002 23290 24820 27400 29200 31025 34000 34250 36500 37264 40004 46580 49640 50005 54800 58225 62050 68500 73000 80008 93160 99280 100010 116450 124100 137000 146000 155125 160016 170017 186320 200020 232900 248200 250025 274000 291125 310250 340034 400040 465800 496400 500050 582250 620500 680068 800080 850085 931600 1000100 1164500 1241000 1250125 1360136 1700170 2000200 2329000 2482000 2500250 2720272 3400340 4000400 4250425 4658000 5000500 6800680 8500850 10001000 13601360 17001700 20002000 21252125 34003400 42504250 68006800 85008500 170017000 340034000