Search a number
-
+
340200 = 2335527
BaseRepresentation
bin1010011000011101000
3122021200000
41103003220
541341300
611143000
72614560
oct1230350
9567600
10340200
11212663
12144a60
13bbb03
148bda0
156ac00
hex530e8

340200 has 144 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 77760.

The previous prime is 340183. The next prime is 340201. The reversal of 340200 is 2043.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (340201) by changing a digit.

340200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48597 + ... + 48603.

2340200 is an apocalyptic number.

340200 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 340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

340200 is an abundant number, since it is smaller than the sum of its proper divisors (1013880).

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

340200 is a wasteful number, since it uses less digits than its factorization.

340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 340200 is about 583.2666628567. The cubic root of 340200 is about 69.8090031435.

Adding to 340200 its reverse (2043), we get a palindrome (342243).

The spelling of 340200 in words is "three hundred forty thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 81 84 90 100 105 108 120 126 135 140 150 162 168 175 180 189 200 210 216 225 243 252 270 280 300 315 324 350 360 378 405 420 450 486 504 525 540 567 600 630 648 675 700 756 810 840 900 945 972 1050 1080 1134 1215 1260 1350 1400 1512 1575 1620 1701 1800 1890 1944 2025 2100 2268 2430 2520 2700 2835 3150 3240 3402 3780 4050 4200 4536 4725 4860 5400 5670 6075 6300 6804 7560 8100 8505 9450 9720 11340 12150 12600 13608 14175 16200 17010 18900 22680 24300 28350 34020 37800 42525 48600 56700 68040 85050 113400 170100 340200