Search a number
-
+
203340000 = 253543389
BaseRepresentation
bin11000001111010…
…11100011100000
3112011121202001010
430013223203200
5404023340000
632102140520
75016234663
oct1407534340
9464552033
10203340000
11a4864396
1258121740
1333186636
141d0116da
1512cb8d50
hexc1eb8e0

203340000 has 120 divisors (see below), whose sum is σ = 667192680. Its totient is φ = 54208000.

The previous prime is 203339989. The next prime is 203340013. The reversal of 203340000 is 43302.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 58306 + ... + 61694.

It is an arithmetic number, because the mean of its divisors is an integer number (5559939).

Almost surely, 2203340000 is an apocalyptic number.

203340000 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 203340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333596340).

203340000 is an abundant number, since it is smaller than the sum of its proper divisors (463852680).

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

203340000 is an equidigital number, since it uses as much as digits as its factorization.

203340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 203340000 is about 14259.7335178467. The cubic root of 203340000 is about 588.0409985759.

Adding to 203340000 its reverse (43302), we get a palindrome (203383302).

The spelling of 203340000 in words is "two hundred three million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3389 3750 4000 5000 6000 6778 7500 10000 10167 12000 13556 15000 16945 20000 20334 27112 30000 33890 40668 50835 54224 60000 67780 81336 84725 101670 108448 135560 162672 169450 203340 254175 271120 325344 338900 406680 423625 508350 542240 677800 813360 847250 1016700 1270875 1355600 1626720 1694500 2033400 2118125 2541750 2711200 3389000 4066800 4236250 5083500 6354375 6778000 8133600 8472500 10167000 12708750 13556000 16945000 20334000 25417500 33890000 40668000 50835000 67780000 101670000 203340000