Search a number
-
+
3040200 = 233352563
BaseRepresentation
bin1011100110001111001000
312201110101000
423212033020
51234241300
6145055000
734561362
oct13461710
95643330
103040200
111797169
121027460
13825a47
14591d32
15400c00
hex2e63c8

3040200 has 96 divisors (see below), whose sum is σ = 10490400. Its totient is φ = 809280.

The previous prime is 3040189. The next prime is 3040217. The reversal of 3040200 is 20403.

3040200 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (109275).

Almost surely, 23040200 is an apocalyptic number.

3040200 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 3040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245200).

3040200 is an abundant number, since it is smaller than the sum of its proper divisors (7450200).

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

3040200 is a wasteful number, since it uses less digits than its factorization.

3040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

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

The square root of 3040200 is about 1743.6169304064. The cubic root of 3040200 is about 144.8663056222.

Adding to 3040200 its reverse (20403), we get a palindrome (3060603).

It can be divided in two parts, 3040 and 200, that added together give a triangular number (3240 = T80).

The spelling of 3040200 in words is "three million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 563 600 675 900 1080 1126 1350 1689 1800 2252 2700 2815 3378 4504 5067 5400 5630 6756 8445 10134 11260 13512 14075 15201 16890 20268 22520 25335 28150 30402 33780 40536 42225 50670 56300 60804 67560 76005 84450 101340 112600 121608 126675 152010 168900 202680 253350 304020 337800 380025 506700 608040 760050 1013400 1520100 3040200