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343031200 = 255223103181
BaseRepresentation
bin10100011100100…
…011110110100000
3212220110210100021
4110130203312200
51200303444300
654012203224
711333500651
oct2434436640
9786423307
10343031200
111666a5466
1296a69514
13560b6255
14337b5528
15201add1a
hex14723da0

343031200 has 144 divisors (see below), whose sum is σ = 887193216. Its totient is φ = 129254400.

The previous prime is 343031197. The next prime is 343031201. The reversal of 343031200 is 2130343.

343031200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343031201) by changing a digit.

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, 1895110 + ... + 1895290.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2343031200 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 343031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443596608).

343031200 is an abundant number, since it is smaller than the sum of its proper divisors (544162016).

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

343031200 is a wasteful number, since it uses less digits than its factorization.

343031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 343031200 is about 18521.1014791238. The cubic root of 343031200 is about 700.0212238463.

Adding to 343031200 its reverse (2130343), we get a palindrome (345161543).

The spelling of 343031200 in words is "three hundred forty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 103 115 160 181 184 200 206 230 362 368 400 412 460 515 575 724 736 800 824 905 920 1030 1150 1448 1648 1810 1840 2060 2300 2369 2575 2896 3296 3620 3680 4120 4163 4525 4600 4738 5150 5792 7240 8240 8326 9050 9200 9476 10300 11845 14480 16480 16652 18100 18400 18643 18952 20600 20815 23690 28960 33304 36200 37286 37904 41200 41630 47380 59225 66608 72400 74572 75808 82400 83260 93215 94760 104075 118450 133216 144800 149144 166520 186430 189520 208150 236900 298288 333040 372860 379040 416300 428789 466075 473800 596576 666080 745720 832600 857578 932150 947600 1491440 1665200 1715156 1864300 1895200 2143945 2982880 3330400 3430312 3728600 4287890 6860624 7457200 8575780 10719725 13721248 14914400 17151560 21439450 34303120 42878900 68606240 85757800 171515600 343031200