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344013310443 = 31137281747183
BaseRepresentation
bin1010000000110001100…
…10101000100111101011
31012212221212201212012010
411000120302220213223
521114014401413233
6422012035051003
733565653614565
oct5003062504753
91185855655163
10344013310443
111229935aa930
1256809440a63
13265954b317a
141291672a335
158e36699b63
hex5018ca89eb

344013310443 has 16 divisors (see below), whose sum is σ = 513906863616. Its totient is φ = 202857971040.

The previous prime is 344013310409. The next prime is 344013310477.

344013310443 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (344013310409) and next prime (344013310477).

It is not a de Polignac number, because 344013310443 - 216 = 344013244907 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344013310443.

It is not an unprimeable number, because it can be changed into a prime (344013311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140872371 + ... + 140874812.

It is an arithmetic number, because the mean of its divisors is an integer number (32119178976).

Almost surely, 2344013310443 is an apocalyptic number.

344013310443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344013310443 is a deficient number, since it is larger than the sum of its proper divisors (169893553173).

344013310443 is a wasteful number, since it uses less digits than its factorization.

344013310443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281747234.

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

It can be divided in two parts, 344013 and 310443, that added together give a palindrome (654456).

The spelling of 344013310443 in words is "three hundred forty-four billion, thirteen million, three hundred ten thousand, four hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 281747183 845241549 3099219013 9297657039 10424645771 31273937313 114671103481 344013310443