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34332244223343 = 3111986152382611
BaseRepresentation
bin1111100111001100110010…
…01110001010010101101111
311111120010112010111202012120
413303212121032022111233
513444444414010121333
6201004003144004023
710142265005611023
oct763463116122557
9144503463452176
1034332244223343
11aa3724a908190
123a2599b160613
131620694374c81
14869991d46383
153e80d90c1db3
hex1f399938a56f

34332244223343 has 16 divisors (see below), whose sum is σ = 49940325098112. Its totient is φ = 20806372692000.

The previous prime is 34332244223281. The next prime is 34332244223359.

34332244223343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34332244223343 - 26 = 34332244223279 is a prime.

It is a super-2 number, since 2×343322442233432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34332244223295 and 34332244223304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34332244223393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25535893 + ... + 26846718.

It is an arithmetic number, because the mean of its divisors is an integer number (3121270318632).

Almost surely, 234332244223343 is an apocalyptic number.

34332244223343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34332244223343 is a deficient number, since it is larger than the sum of its proper divisors (15608080874769).

34332244223343 is a wasteful number, since it uses less digits than its factorization.

34332244223343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52402486.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3433224 and 4223343, that added together give a palindrome (7656567).

The spelling of 34332244223343 in words is "thirty-four trillion, three hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 3 11 33 19861 59583 218471 655413 52382611 157147833 576208721 1728626163 1040371037071 3121113111213 11444081407781 34332244223343