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3434420244343 = 112412712554553
BaseRepresentation
bin110001111110100011011…
…001100000111101110111
3110011022211122121020010111
4301332203121200331313
5422232143040304333
611145430105003451
7503062064256514
oct61764331407567
913138748536114
103434420244343
111104590769100
12475744483587
131bbb31233a1a
14bc3265ac30b
155e50cd4d4cd
hex31fa3660f77

3434420244343 has 24 divisors (see below), whose sum is σ = 3881368911168. Its totient is φ = 3034807776000.

The previous prime is 3434420244289. The next prime is 3434420244397.

3434420244343 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3434420244289) and next prime (3434420244397).

It is a de Polignac number, because none of the positive numbers 2k-3434420244343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3434420244296 and 3434420244305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434420244043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67155 + ... + 2621707.

It is an arithmetic number, because the mean of its divisors is an integer number (161723704632).

Almost surely, 23434420244343 is an apocalyptic number.

3434420244343 is a deficient number, since it is larger than the sum of its proper divisors (446948666825).

3434420244343 is a wasteful number, since it uses less digits than its factorization.

3434420244343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554887 (or 2554876 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 3434420 and 244343, that added together give a palindrome (3678763).

The spelling of 3434420244343 in words is "three trillion, four hundred thirty-four billion, four hundred twenty million, two hundred forty-four thousand, three hundred forty-three".

Divisors: 1 11 41 121 271 451 2981 4961 11111 32791 122221 1344431 2554553 28100083 104736673 309100913 692283863 1152103403 7615122493 12673137433 28383638383 83766347423 312220022213 3434420244343