Search a number
-
+
1244233440 = 253351491933
BaseRepresentation
bin100101000101001…
…0111111011100000
310012201020121102000
41022022113323200
510022010432230
6323244124000
742555544512
oct11212277340
93181217360
101244233440
11589378aaa
122a8836600
1316aa10c08
14bb365bb2
1574376b60
hex4a297ee0

1244233440 has 192 divisors, whose sum is σ = 4386312000. Its totient is φ = 329398272.

The previous prime is 1244233427. The next prime is 1244233469. The reversal of 1244233440 is 443324421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642714 + ... + 644646.

It is an arithmetic number, because the mean of its divisors is an integer number (22845375).

Almost surely, 21244233440 is an apocalyptic number.

1244233440 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 1244233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193156000).

1244233440 is an abundant number, since it is smaller than the sum of its proper divisors (3142078560).

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

1244233440 is a wasteful number, since it uses less digits than its factorization.

1244233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1244233440 is about 35273.6933138564. The cubic root of 1244233440 is about 1075.5583009464.

Adding to 1244233440 its reverse (443324421), we get a palindrome (1687557861).

The spelling of 1244233440 in words is "one billion, two hundred forty-four million, two hundred thirty-three thousand, four hundred forty".