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343141120 = 285725471
BaseRepresentation
bin10100011100111…
…110101100000000
3212220200101010101
4110130332230000
51200321003440
654014412144
711334436300
oct2434765400
9786611111
10343141120
11166770003
1296b01054
13561242aa
1433803600
15201d169a
hex1473eb00

343141120 has 108 divisors (see below), whose sum is σ = 956297664. Its totient is φ = 117626880.

The previous prime is 343141091. The next prime is 343141129. The reversal of 343141120 is 21141343.

It is not an unprimeable number, because it can be changed into a prime (343141129) 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 11 ways as a sum of consecutive naturals, for example, 59985 + ... + 65455.

It is an arithmetic number, because the mean of its divisors is an integer number (8854608).

Almost surely, 2343141120 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 343141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478148832).

343141120 is an abundant number, since it is smaller than the sum of its proper divisors (613156544).

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

343141120 is an equidigital number, since it uses as much as digits as its factorization.

343141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 343141120 is about 18524.0686675471. The cubic root of 343141120 is about 700.0959868373.

Adding to 343141120 its reverse (21141343), we get a palindrome (364282463).

It can be divided in two parts, 3431 and 41120, that added together give a triangular number (44551 = T298).

The spelling of 343141120 in words is "three hundred forty-three million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3920 4480 5471 6272 7840 8960 10942 12544 15680 21884 27355 31360 38297 43768 54710 62720 76594 87536 109420 153188 175072 191485 218840 268079 306376 350144 382970 437680 536158 612752 700288 765940 875360 1072316 1225504 1340395 1400576 1531880 1750720 2144632 2451008 2680790 3063760 3501440 4289264 4902016 5361580 6127520 7002880 8578528 9804032 10723160 12255040 17157056 21446320 24510080 34314112 42892640 49020160 68628224 85785280 171570560 343141120