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343540000 = 255489193
BaseRepresentation
bin10100011110100…
…000000100100000
3212221102122021201
4110132200010200
51200421240000
654031130544
711341020226
oct2436400440
9787378251
10343540000
11166a12761
1297073a54
1356233a0b
14338a8b16
152025e96a
hex147a0120

343540000 has 120 divisors (see below), whose sum is σ = 859084380. Its totient is φ = 135168000.

The previous prime is 343539997. The next prime is 343540013. The reversal of 343540000 is 45343.

It can be written as a sum of positive squares in 10 ways, for example, as 104775696 + 238764304 = 10236^2 + 15452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343540000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1779904 + ... + 1780096.

Almost surely, 2343540000 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 343540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429542190).

343540000 is an abundant number, since it is smaller than the sum of its proper divisors (515544380).

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

343540000 is an equidigital number, since it uses as much as digits as its factorization.

343540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 343540000 is about 18534.8320736930. The cubic root of 343540000 is about 700.3671543304.

Adding to 343540000 its reverse (45343), we get a palindrome (343585343).

The spelling of 343540000 in words is "three hundred forty-three million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 193 200 250 356 386 400 445 500 625 712 772 800 890 965 1000 1250 1424 1544 1780 1930 2000 2225 2500 2848 3088 3560 3860 4000 4450 4825 5000 6176 7120 7720 8900 9650 10000 11125 14240 15440 17177 17800 19300 20000 22250 24125 30880 34354 35600 38600 44500 48250 55625 68708 71200 77200 85885 89000 96500 111250 120625 137416 154400 171770 178000 193000 222500 241250 274832 343540 356000 386000 429425 445000 482500 549664 687080 772000 858850 890000 965000 1374160 1717700 1780000 1930000 2147125 2748320 3435400 3860000 4294250 6870800 8588500 10735625 13741600 17177000 21471250 34354000 42942500 68708000 85885000 171770000 343540000