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34345466454343 = 119901315353513
BaseRepresentation
bin1111100111100101011010…
…10100111110000101000111
311111121101122121110200021211
413303302231110332011013
514000204003403014333
6201014031154152251
710143243450663322
oct763625524760507
9144541577420254
1034345466454343
11aa4191547a020
123a2846b282687
1316219c07b59b5
1486a487ddd7b9
153e860ecbeecd
hex1f3cad53e147

34345466454343 has 8 divisors (see below), whose sum is σ = 37471565947536. Its totient is φ = 31219997688000.

The previous prime is 34345466454331. The next prime is 34345466454371.

34345466454343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-34345466454343 is a prime.

It is a super-2 number, since 2×343454664543432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345466454323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157567846 + ... + 157785667.

It is an arithmetic number, because the mean of its divisors is an integer number (4683945743442).

Almost surely, 234345466454343 is an apocalyptic number.

34345466454343 is a deficient number, since it is larger than the sum of its proper divisors (3126099493193).

34345466454343 is a wasteful number, since it uses less digits than its factorization.

34345466454343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315363425.

The product of its digits is 298598400, while the sum is 58.

It can be divided in two parts, 3434546 and 6454343, that added together give a palindrome (9888889).

The spelling of 34345466454343 in words is "thirty-four trillion, three hundred forty-five billion, four hundred sixty-six million, four hundred fifty-four thousand, three hundred forty-three".

Divisors: 1 11 9901 108911 315353513 3468888643 3122315132213 34345466454343