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34338683343 = 312019530581
BaseRepresentation
bin11111111110101111…
…101011100111001111
310021122010021212000210
4133332233223213033
51030311200331333
623435221053503
72323641664266
oct377657534717
9107563255023
1034338683343
1113621323048
1267a3b57293
133313209a53
14193a7615dd
15d5e99ea63
hex7febeb9cf

34338683343 has 8 divisors (see below), whose sum is σ = 45823038256. Its totient is φ = 22873392000.

The previous prime is 34338683329. The next prime is 34338683371.

34338683343 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 34338683343 - 212 = 34338679247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34338683292 and 34338683301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34338683303) 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, 4761688 + ... + 4768893.

It is an arithmetic number, because the mean of its divisors is an integer number (5727879782).

Almost surely, 234338683343 is an apocalyptic number.

34338683343 is a deficient number, since it is larger than the sum of its proper divisors (11484354913).

34338683343 is a wasteful number, since it uses less digits than its factorization.

34338683343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531785.

The product of its digits is 4478976, while the sum is 48.

The spelling of 34338683343 in words is "thirty-four billion, three hundred thirty-eight million, six hundred eighty-three thousand, three hundred forty-three".

Divisors: 1 3 1201 3603 9530581 28591743 11446227781 34338683343