Search a number
-
+
1344354116 = 227531098311
BaseRepresentation
bin101000000100001…
…0011011101000100
310110200122021011012
41100020103131010
510223123312431
6341222101352
745212551520
oct12010233504
93420567135
101344354116
1162a942166
1231627a858
13185697611
14ca788d80
157d05222b
hex50213744

1344354116 has 48 divisors (see below), whose sum is σ = 2764903680. Its totient is φ = 560027520.

The previous prime is 1344354103. The next prime is 1344354119. The reversal of 1344354116 is 6114534431.

It is a happy number.

It is a super-2 number, since 2×13443541162 = 3614575978412282912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1344354119) 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 15 ways as a sum of consecutive naturals, for example, 157601 + ... + 165911.

It is an arithmetic number, because the mean of its divisors is an integer number (57602160).

Almost surely, 21344354116 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 1344354116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382451840).

1344354116 is an abundant number, since it is smaller than the sum of its proper divisors (1420549564).

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

1344354116 is a wasteful number, since it uses less digits than its factorization.

1344354116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8482 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 1344354116 is about 36665.4348944616. The cubic root of 1344354116 is about 1103.6665845804. Note that the first 3 decimals are identical.

Adding to 1344354116 its reverse (6114534431), we get a palindrome (7458888547).

The spelling of 1344354116 in words is "one billion, three hundred forty-four million, three hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 53 106 109 212 218 371 436 742 763 1484 1526 3052 5777 8311 11554 16622 23108 33244 40439 58177 80878 116354 161756 232708 440483 880966 905899 1761932 1811798 3083381 3623596 6166762 6341293 12333524 12682586 25365172 48012647 96025294 192050588 336088529 672177058 1344354116