Search a number
-
+
1244331040 = 25522933961
BaseRepresentation
bin100101000101010…
…1111110000100000
310012201102120021211
41022022233300200
510022022043130
6323250155504
742556432201
oct11212576040
93181376254
101244331040
11589435367
122a8882b94
1316aa46474
14bb38d5a8
1574395a2a
hex4a2afc20

1244331040 has 48 divisors (see below), whose sum is σ = 2952656280. Its totient is φ = 495544320.

The previous prime is 1244331037. The next prime is 1244331059. The reversal of 1244331040 is 401334421.

It can be written as a sum of positive squares in 4 ways, for example, as 974188944 + 270142096 = 31212^2 + 16436^2 .

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 7 ways as a sum of consecutive naturals, for example, 19660 + ... + 53620.

Almost surely, 21244331040 is an apocalyptic number.

1244331040 is a gapful number since it is divisible by the number (10) 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 1244331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476328140).

1244331040 is an abundant number, since it is smaller than the sum of its proper divisors (1708325240).

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

1244331040 is a wasteful number, since it uses less digits than its factorization.

1244331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34205 (or 34197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1244331040 is about 35275.0767539916. The cubic root of 1244331040 is about 1075.5864231466.

Adding to 1244331040 its reverse (401334421), we get a palindrome (1645665461).

The spelling of 1244331040 in words is "one billion, two hundred forty-four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 4580 7328 9160 18320 33961 36640 67922 135844 169805 271688 339610 543376 679220 1086752 1358440 2716880 5433760 7777069 15554138 31108276 38885345 62216552 77770690 124433104 155541380 248866208 311082760 622165520 1244331040