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18340200 = 23325223443
BaseRepresentation
bin100010111110…
…1100101101000
31021111210000200
41011331211220
514143341300
61453032200
7311613654
oct105754550
937453020
1018340200
11a39729a
126185660
133a51ab8
142615a64
151924200
hex117d968

18340200 has 144 divisors (see below), whose sum is σ = 64415520. Its totient is φ = 4667520.

The previous prime is 18340169. The next prime is 18340207. The reversal of 18340200 is 204381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18340207) 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 35 ways as a sum of consecutive naturals, for example, 41179 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (447330).

Almost surely, 218340200 is an apocalyptic number.

18340200 is a gapful number since it is divisible by the number (10) 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 18340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32207760).

18340200 is an abundant number, since it is smaller than the sum of its proper divisors (46075320).

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

18340200 is a wasteful number, since it uses less digits than its factorization.

18340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18340200 is about 4282.5459717322. The cubic root of 18340200 is about 263.7149126374.

Adding to 18340200 its reverse (204381), we get a palindrome (18544581).

The spelling of 18340200 in words is "eighteen million, three hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 443 450 460 552 575 600 690 828 886 900 920 1035 1150 1329 1380 1656 1725 1772 1800 2070 2215 2300 2658 2760 3450 3544 3987 4140 4430 4600 5175 5316 6645 6900 7974 8280 8860 10189 10350 10632 11075 13290 13800 15948 17720 19935 20378 20700 22150 26580 30567 31896 33225 39870 40756 41400 44300 50945 53160 61134 66450 79740 81512 88600 91701 99675 101890 122268 132900 152835 159480 183402 199350 203780 244536 254725 265800 305670 366804 398700 407560 458505 509450 611340 733608 764175 797400 917010 1018900 1222680 1528350 1834020 2037800 2292525 3056700 3668040 4585050 6113400 9170100 18340200