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340430200 = 235211271571
BaseRepresentation
bin10100010010101…
…000110101111000
3212201120122102221
4110102220311320
51144122231300
653440333424
711302415605
oct2422506570
9781518387
10340430200
11165189280
1296014274
13556b53b6
14332d96ac
151ed4831a
hex144a8d78

340430200 has 96 divisors (see below), whose sum is σ = 868158720. Its totient is φ = 123120000.

The previous prime is 340430173. The next prime is 340430213. The reversal of 340430200 is 2034043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595915 + ... + 596485.

It is an arithmetic number, because the mean of its divisors is an integer number (9043320).

Almost surely, 2340430200 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 340430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434079360).

340430200 is an abundant number, since it is smaller than the sum of its proper divisors (527728520).

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

340430200 is a wasteful number, since it uses less digits than its factorization.

340430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 340430200 is about 18450.7506622359. The cubic root of 340430200 is about 698.2474526505.

Adding to 340430200 its reverse (2034043), we get a palindrome (342464243).

The spelling of 340430200 in words is "three hundred forty million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 271 275 440 542 550 571 1084 1100 1142 1355 2168 2200 2284 2710 2855 2981 4568 5420 5710 5962 6281 6775 10840 11420 11924 12562 13550 14275 14905 22840 23848 25124 27100 28550 29810 31405 50248 54200 57100 59620 62810 74525 114200 119240 125620 149050 154741 157025 251240 298100 309482 314050 596200 618964 628100 773705 1237928 1256200 1547410 1702151 3094820 3404302 3868525 6189640 6808604 7737050 8510755 13617208 15474100 17021510 30948200 34043020 42553775 68086040 85107550 170215100 340430200