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1344322221 = 311237101991
BaseRepresentation
bin101000000100000…
…1011101010101101
310110200120122101220
41100020023222231
510223121302341
6341221253553
745212356524
oct12010135255
93420518356
101344322221
1162a920200
123162642b9
13185685c48
14ca77b4bb
157d047a66
hex5020baad

1344322221 has 48 divisors (see below), whose sum is σ = 2045535744. Its totient is φ = 784080000.

The previous prime is 1344322207. The next prime is 1344322261. The reversal of 1344322221 is 1222234431.

It is a happy number.

It is not a de Polignac number, because 1344322221 - 27 = 1344322093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1344322191 and 1344322200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344322261) 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 47 ways as a sum of consecutive naturals, for example, 1356036 + ... + 1357026.

It is an arithmetic number, because the mean of its divisors is an integer number (42615328).

Almost surely, 21344322221 is an apocalyptic number.

1344322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344322221 is a deficient number, since it is larger than the sum of its proper divisors (701213523).

1344322221 is a wasteful number, since it uses less digits than its factorization.

1344322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1344322221 is about 36664.9999454521. Note that the first 4 decimals coincide. The cubic root of 1344322221 is about 1103.6578562938.

Adding to 1344322221 its reverse (1222234431), we get a palindrome (2566556652).

The spelling of 1344322221 in words is "one billion, three hundred forty-four million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 101 111 121 303 363 407 991 1111 1221 2973 3333 3737 4477 10901 11211 12221 13431 32703 36663 36667 41107 100091 110001 119911 123321 300273 359733 403337 452177 1101001 1210011 1356531 3303003 3703367 4436707 11110101 12111011 13310121 36333033 40737037 122211111 448107407 1344322221