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1334444331 = 311371092911
BaseRepresentation
bin100111110001010…
…0000000100101011
310102222222210111010
41033202200010223
510213104204311
6340225435003
745032406153
oct11742400453
93388883433
101334444331
11625293860
12312a9ba63
13183607b3c
14c9329763
157c245da6
hex4f8a012b

1334444331 has 16 divisors (see below), whose sum is σ = 1993471488. Its totient is φ = 786895200.

The previous prime is 1334444303. The next prime is 1334444339.

1334444331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1334444331 - 25 = 1334444299 is a prime.

It is a super-2 number, since 2×13344443312 = 3561483345076075122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334444339) 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 15 ways as a sum of consecutive naturals, for example, 545235 + ... + 547676.

It is an arithmetic number, because the mean of its divisors is an integer number (124591968).

Almost surely, 21334444331 is an apocalyptic number.

1334444331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334444331 is a deficient number, since it is larger than the sum of its proper divisors (659027157).

1334444331 is a wasteful number, since it uses less digits than its factorization.

1334444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092962.

The product of its digits is 20736, while the sum is 30.

The square root of 1334444331 is about 36530.0469613714. The cubic root of 1334444331 is about 1100.9480342178.

It can be divided in two parts, 13344 and 44331, that added together give a palindrome (57675).

The spelling of 1334444331 in words is "one billion, three hundred thirty-four million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 1092911 3278733 12022021 36066063 40437707 121313121 444814777 1334444331