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1344615561 = 321727192
BaseRepresentation
bin101000000100101…
…0011010010001001
310110201010112210100
41100021103102021
510223210144221
6341231440013
745215020662
oct12011232211
93421115710
101344615561
11630000633
12316386009
13185759613
14ca816369
157d0a4926
hex50253489

1344615561 has 27 divisors (see below), whose sum is σ = 2066064871. Its totient is φ = 842506944.

The previous prime is 1344615553. The next prime is 1344615583. The reversal of 1344615561 is 1655164431.

The square root of 1344615561 is 36669.

It is a perfect power (a square), and thus also a powerful number.

1344615561 is a `hidden beast` number, since 1 + 3 + 44 + 61 + 556 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1046846025 + 297769536 = 32355^2 + 17256^2 .

It is not a de Polignac number, because 1344615561 - 23 = 1344615553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344614561) 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 26 ways as a sum of consecutive naturals, for example, 1869760 + ... + 1870478.

Almost surely, 21344615561 is an apocalyptic number.

1344615561 is the 36669-th square number.

1344615561 is the 18335-th centered octagonal number.

It is an amenable number.

1344615561 is a deficient number, since it is larger than the sum of its proper divisors (721449310).

1344615561 is an frugal number, since it uses more digits than its factorization.

1344615561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 1344615561 is about 1103.7381256036.

Multiplying 1344615561 by its sum of digits (36), we get a square (48406160196 = 2200142).

Adding to 1344615561 its reverse (1655164431), we get a palindrome (2999779992).

The spelling of 1344615561 in words is "one billion, three hundred forty-four million, six hundred fifteen thousand, five hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 719 867 2157 2601 6471 12223 36669 110007 207791 516961 623373 1550883 1870119 4652649 8788337 26365011 79095033 149401729 448205187 1344615561