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200340 = 22335753
BaseRepresentation
bin110000111010010100
3101011211000
4300322110
522402330
64143300
71463040
oct607224
9334730
10200340
11127578
1297b30
137025a
1453020
153e560
hex30e94

200340 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 44928.

The previous prime is 200329. The next prime is 200341. The reversal of 200340 is 43002.

It is a super-2 number, since 2×2003402 = 80272231200, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200341) by changing a digit.

200340 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 31 ways as a sum of consecutive naturals, for example, 3754 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2200340 is an apocalyptic number.

200340 is a gapful number since it is divisible by the number (20) 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 200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

200340 is an abundant number, since it is smaller than the sum of its proper divisors (525420).

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

200340 is a wasteful number, since it uses less digits than its factorization.

200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

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

The square root of 200340 is about 447.5935656374. The cubic root of 200340 is about 58.5134748710.

Adding to 200340 its reverse (43002), we get a palindrome (243342).

The spelling of 200340 in words is "two hundred thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 53 54 60 63 70 84 90 105 106 108 126 135 140 159 180 189 210 212 252 265 270 315 318 371 378 420 477 530 540 630 636 742 756 795 945 954 1060 1113 1260 1431 1484 1590 1855 1890 1908 2226 2385 2862 3180 3339 3710 3780 4452 4770 5565 5724 6678 7155 7420 9540 10017 11130 13356 14310 16695 20034 22260 28620 33390 40068 50085 66780 100170 200340