Search a number
-
+
1244204442 = 2331316710613
BaseRepresentation
bin100101000101001…
…0000110110011010
310012201012010122000
41022022100312122
510022004020232
6323243341430
742555364125
oct11212206632
93181163560
101244204442
11589359238
122a8821876
1316aa00960
14bb3593bc
157436d27c
hex4a290d9a

1244204442 has 64 divisors (see below), whose sum is σ = 2995695360. Its totient is φ = 380503872.

The previous prime is 1244204431. The next prime is 1244204447. The reversal of 1244204442 is 2444024421.

1244204442 is a `hidden beast` number, since 12 + 4 + 4 + 204 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1244204447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 111928 + ... + 122540.

It is an arithmetic number, because the mean of its divisors is an integer number (46807740).

Almost surely, 21244204442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244204442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497847680).

1244204442 is an abundant number, since it is smaller than the sum of its proper divisors (1751490918).

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

1244204442 is a wasteful number, since it uses less digits than its factorization.

1244204442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1244204442 is about 35273.2822685953. The cubic root of 1244204442 is about 1075.5499452577.

Adding to 1244204442 its reverse (2444024421), we get a palindrome (3688228863).

The spelling of 1244204442 in words is "one billion, two hundred forty-four million, two hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 167 234 334 351 501 702 1002 1503 2171 3006 4342 4509 6513 9018 10613 13026 19539 21226 31839 39078 58617 63678 95517 117234 137969 191034 275938 286551 413907 573102 827814 1241721 1772371 2483442 3544742 3725163 5317113 7450326 10634226 15951339 23040823 31902678 46081646 47854017 69122469 95708034 138244938 207367407 414734814 622102221 1244204442