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1344365568 = 210327213229
BaseRepresentation
bin101000000100001…
…0110010000000000
310110200122211212100
41100020112100000
510223124144233
6341222230400
745212630100
oct12010262000
93420584770
101344365568
1162a94a827
12316285400
1318569c8b0
14ca78d200
157d055813
hex50216400

1344365568 has 396 divisors, whose sum is σ = 4884182940. Its totient is φ = 353009664.

The previous prime is 1344365567. The next prime is 1344365569. The reversal of 1344365568 is 8655634431.

1344365568 is a `hidden beast` number, since 13 + 44 + 36 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (1344365567) and next prime (1344365569).

It can be written as a sum of positive squares in 2 ways, for example, as 759112704 + 585252864 = 27552^2 + 24192^2 .

It is not an unprimeable number, because it can be changed into a prime (1344365567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870478 + ... + 5870706.

Almost surely, 21344365568 is an apocalyptic number.

1344365568 is a gapful number since it is divisible by the number (18) 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 1344365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442091470).

1344365568 is an abundant number, since it is smaller than the sum of its proper divisors (3539817372).

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

1344365568 is a wasteful number, since it uses less digits than its factorization.

1344365568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1344365568 is about 36665.5910630117. The cubic root of 1344365568 is about 1103.6697184654.

Adding to 1344365568 its reverse (8655634431), we get a palindrome (9999999999).

The spelling of 1344365568 in words is "one billion, three hundred forty-four million, three hundred sixty-five thousand, five hundred sixty-eight".