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340343100 = 223352233541
BaseRepresentation
bin10100010010010…
…011100100111100
3212201102012222000
4110102103210330
51144111434400
653434422300
711301603636
oct2422234474
9781365860
10340343100
11165129899
1295b91990
1355684866
14332b5a56
151ed2c600
hex1449393c

340343100 has 144 divisors (see below), whose sum is σ = 1100867040. Its totient is φ = 90201600.

The previous prime is 340343099. The next prime is 340343119. The reversal of 340343100 is 1343043.

It is a super-3 number, since 3×3403431003 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 628830 + ... + 629370.

It is an arithmetic number, because the mean of its divisors is an integer number (7644910).

Almost surely, 2340343100 is an apocalyptic number.

340343100 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 340343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550433520).

340343100 is an abundant number, since it is smaller than the sum of its proper divisors (760523940).

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

340343100 is a wasteful number, since it uses less digits than its factorization.

340343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 340343100 is about 18448.3901736710. The cubic root of 340343100 is about 698.1878980627.

Adding to 340343100 its reverse (1343043), we get a palindrome (341686143).

The spelling of 340343100 in words is "three hundred forty million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 233 270 300 450 466 540 541 675 699 900 932 1082 1165 1350 1398 1623 2097 2164 2330 2700 2705 2796 3246 3495 4194 4660 4869 5410 5825 6291 6492 6990 8115 8388 9738 10485 10820 11650 12582 13525 13980 14607 16230 17475 19476 20970 23300 24345 25164 27050 29214 31455 32460 34950 40575 41940 48690 52425 54100 58428 62910 69900 73035 81150 97380 104850 121725 125820 126053 146070 157275 162300 209700 243450 252106 292140 314550 365175 378159 486900 504212 629100 630265 730350 756318 1134477 1260530 1460700 1512636 1890795 2268954 2521060 3151325 3403431 3781590 4537908 5672385 6302650 6806862 7563180 9453975 11344770 12605300 13613724 17017155 18907950 22689540 28361925 34034310 37815900 56723850 68068620 85085775 113447700 170171550 340343100