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340342200 = 2332521117189
BaseRepresentation
bin10100010010010…
…011010110111000
3212201102011201200
4110102103112320
51144111422300
653434414200
711301601212
oct2422232670
9781364650
10340342200
11165129150
1295b91360
1355684323
14332b55b2
151ed2c200
hex144935b8

340342200 has 144 divisors (see below), whose sum is σ = 1246962600. Its totient is φ = 82502400.

The previous prime is 340342153. The next prime is 340342253. The reversal of 340342200 is 2243043.

340342200 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 (18).

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 35 ways as a sum of consecutive naturals, for example, 11206 + ... + 28394.

Almost surely, 2340342200 is an apocalyptic number.

340342200 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 340342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623481300).

340342200 is an abundant number, since it is smaller than the sum of its proper divisors (906620400).

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

340342200 is a wasteful number, since it uses less digits than its factorization.

340342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17222 (or 17210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340342200 is about 18448.3657812826. The cubic root of 340342200 is about 698.1872826351.

Adding to 340342200 its reverse (2243043), we get a palindrome (342585243).

The spelling of 340342200 in words is "three hundred forty million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 17189 19800 34378 51567 68756 85945 103134 137512 154701 171890 189079 206268 257835 309402 343780 378158 412536 429725 515670 567237 618804 687560 756316 773505 859450 945395 1031340 1134474 1237608 1289175 1512632 1547010 1701711 1718900 1890790 2062680 2268948 2578350 2836185 3094020 3403422 3437800 3781580 3867525 4537896 4726975 5156700 5672370 6188040 6806844 7563160 7735050 8508555 9453950 10313400 11344740 13613688 14180925 15470100 17017110 18907900 22689480 28361850 30940200 34034220 37815800 42542775 56723700 68068440 85085550 113447400 170171100 340342200