Search a number
-
+
2824350 = 235219991
BaseRepresentation
bin1010110001100010011110
312022111021120
422301202132
51210334400
6140311410
733002154
oct12614236
95274246
102824350
111659a81
12b42566
1377b719
145373d4
153abca0
hex2b189e

2824350 has 48 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 712800.

The previous prime is 2824337. The next prime is 2824351. The reversal of 2824350 is 534282.

2824350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2824350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824351) by changing a digit.

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, 2355 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (153760).

22824350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2824350 is an abundant number, since it is smaller than the sum of its proper divisors (4556130).

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

2824350 is a wasteful number, since it uses less digits than its factorization.

2824350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2824350 is about 1680.5802569351. The cubic root of 2824350 is about 141.3533714815.

The spelling of 2824350 in words is "two million, eight hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 991 1425 1982 2850 2973 4955 5946 9910 14865 18829 24775 29730 37658 49550 56487 74325 94145 112974 148650 188290 282435 470725 564870 941450 1412175 2824350