Search a number
-
+
2440351728 = 243221180317
BaseRepresentation
bin1001000101110100…
…1100111111110000
320022001221201020100
42101131030333300
514444212223403
61042053112400
7114321435033
oct22135147760
96261851210
102440351728
111042573411
12581328700
132cb776609
1419216501a
15e43972a3
hex9174cff0

2440351728 has 60 divisors (see below), whose sum is σ = 6862048648. Its totient is φ = 809585280.

The previous prime is 2440351723. The next prime is 2440351747. The reversal of 2440351728 is 8271530442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2440351692 and 2440351701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440351723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9775 + ... + 70542.

Almost surely, 22440351728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431024324).

2440351728 is an abundant number, since it is smaller than the sum of its proper divisors (4421696920).

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

2440351728 is a wasteful number, since it uses less digits than its factorization.

2440351728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80542 (or 80533 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2440351728 is about 49399.9162752327. The cubic root of 2440351728 is about 1346.3277846548.

The spelling of 2440351728 in words is "two billion, four hundred forty million, three hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 80317 160634 240951 321268 481902 642536 722853 963804 1285072 1445706 1927608 2891412 3855216 5782824 11565648 16946887 33893774 50840661 67787548 101681322 135575096 152521983 203362644 271150192 305043966 406725288 610087932 813450576 1220175864 2440351728