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34335653343 = 3611114916829
BaseRepresentation
bin11111111110100100…
…000111110111011111
310021121220120220122120
4133332210013313133
51030304411401333
623435032114023
72323604144415
oct377644076737
9107556526576
1034335653343
111361a643612
1267a2b35913
1333126b8854
14193a1b32b5
15d5e5a1db3
hex7fe907ddf

34335653343 has 16 divisors (see below), whose sum is σ = 46538316000. Its totient is φ = 22511825280.

The previous prime is 34335653323. The next prime is 34335653377.

34335653343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34335653343 - 25 = 34335653311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34335653295 and 34335653304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34335653323) 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, 2031853 + ... + 2048681.

It is an arithmetic number, because the mean of its divisors is an integer number (2908644750).

Almost surely, 234335653343 is an apocalyptic number.

34335653343 is a deficient number, since it is larger than the sum of its proper divisors (12202662657).

34335653343 is a wasteful number, since it uses less digits than its factorization.

34335653343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042.

The product of its digits is 1749600, while the sum is 42.

The spelling of 34335653343 in words is "thirty-four billion, three hundred thirty-five million, six hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 61 183 11149 16829 33447 50487 680089 1026569 2040267 3079707 187626521 562879563 11445217781 34335653343