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1344431121 = 31132314639
BaseRepresentation
bin101000000100010…
…0110010000010001
310110200210011210020
41100020212100101
510223133243441
6341223454053
745213322155
oct12010462021
93420704706
101344431121
1162a995000
123162b7329
131856c3697
14ca7a9065
157d069e66
hex50226411

1344431121 has 32 divisors (see below), whose sum is σ = 2057564160. Its totient is φ = 779327120.

The previous prime is 1344431093. The next prime is 1344431141. The reversal of 1344431121 is 1211344431.

It is not a de Polignac number, because 1344431121 - 29 = 1344430609 is a prime.

It is a super-2 number, since 2×13444311212 = 3614990078226633282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1344431091 and 1344431100.

It is not an unprimeable number, because it can be changed into a prime (1344431141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84520 + ... + 99158.

It is an arithmetic number, because the mean of its divisors is an integer number (64298880).

Almost surely, 21344431121 is an apocalyptic number.

1344431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344431121 is a deficient number, since it is larger than the sum of its proper divisors (713133039).

1344431121 is a wasteful number, since it uses less digits than its factorization.

1344431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14676 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1344431121 is about 36666.4849828832. The cubic root of 1344431121 is about 1103.6876569605.

Adding to 1344431121 its reverse (1211344431), we get a palindrome (2555775552).

The spelling of 1344431121 in words is "one billion, three hundred forty-four million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 23 33 69 121 253 363 759 1331 2783 3993 8349 14639 30613 43917 91839 161029 336697 483087 1010091 1771319 3703667 5313957 11111001 19484509 40740337 58453527 122221011 448143707 1344431121