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343140 = 223571943
BaseRepresentation
bin1010011110001100100
3122102200220
41103301210
541440030
611204340
72626260
oct1236144
9572626
10343140
11214896
121466b0
13c0255
148d0a0
156ba10
hex53c64

343140 has 96 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 72576.

The previous prime is 343127. The next prime is 343141. The reversal of 343140 is 41343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 343140.

It is not an unprimeable number, because it can be changed into a prime (343141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7959 + ... + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2343140 is an apocalyptic number.

343140 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 343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

343140 is an abundant number, since it is smaller than the sum of its proper divisors (839580).

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

343140 is a wasteful number, since it uses less digits than its factorization.

343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 343140 is about 585.7815292411. The cubic root of 343140 is about 70.0095225141.

Adding to 343140 its reverse (41343), we get a palindrome (384483).

The spelling of 343140 in words is "three hundred forty-three thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 43 57 60 70 76 84 86 95 105 114 129 133 140 172 190 210 215 228 258 266 285 301 380 399 420 430 516 532 570 602 645 665 798 817 860 903 1140 1204 1290 1330 1505 1596 1634 1806 1995 2451 2580 2660 3010 3268 3612 3990 4085 4515 4902 5719 6020 7980 8170 9030 9804 11438 12255 16340 17157 18060 22876 24510 28595 34314 49020 57190 68628 85785 114380 171570 343140