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343468200 = 233522324889
BaseRepresentation
bin10100011110001…
…110100010101000
3212221021222210110
4110132032202220
51200411440300
654025414320
711340301005
oct2436164250
9787258713
10343468200
11166973819
129703a3a0
135620a12a
143388a8ac
1520248550
hex1478e8a8

343468200 has 96 divisors (see below), whose sum is σ = 1111089600. Its totient is φ = 87605760.

The previous prime is 343468171. The next prime is 343468201. The reversal of 343468200 is 2864343.

It is a super-2 number, since 2×3434682002 = 235940808822480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (343468201) 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, 1356 + ... + 26244.

It is an arithmetic number, because the mean of its divisors is an integer number (11573850).

Almost surely, 2343468200 is an apocalyptic number.

343468200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555544800).

343468200 is an abundant number, since it is smaller than the sum of its proper divisors (767621400).

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

343468200 is a wasteful number, since it uses less digits than its factorization.

343468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24931 (or 24922 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 343468200 is about 18532.8950787512. The cubic root of 343468200 is about 700.3183585906.

The spelling of 343468200 in words is "three hundred forty-three million, four hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 24889 49778 74667 99556 124445 149334 199112 248890 298668 373335 497780 572447 597336 622225 746670 995560 1144894 1244450 1493340 1717341 1866675 2289788 2488900 2862235 2986680 3434682 3733350 4579576 4977800 5724470 6869364 7466700 8586705 11448940 13738728 14311175 14933400 17173410 22897880 28622350 34346820 42933525 57244700 68693640 85867050 114489400 171734100 343468200