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34322344322343 = 3711235763038429
BaseRepresentation
bin1111100110111010010110…
…01001000010010100100111
311111112011222012002200002120
413303131023021002110213
513444314130121303333
6200555244534441023
710141464455052630
oct763351311022447
9144464865080076
1034322344322343
11aa3302a652020
123a23a97803173
13161c77733439c
148692d31dc887
153e7c09dd7db3
hex1f374b242527

34322344322343 has 32 divisors (see below), whose sum is σ = 57079533288960. Its totient is φ = 17822224364160.

The previous prime is 34322344322341. The next prime is 34322344322363.

34322344322343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34322344322343 - 21 = 34322344322341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34322344322295 and 34322344322304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322344322341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30974748 + ... + 32063681.

It is an arithmetic number, because the mean of its divisors is an integer number (1783735415280).

Almost surely, 234322344322343 is an apocalyptic number.

34322344322343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34322344322343 is a deficient number, since it is larger than the sum of its proper divisors (22757188966617).

34322344322343 is a wasteful number, since it uses less digits than its factorization.

34322344322343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63040807.

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

It can be divided in two parts, 3432234 and 4322343, that added together give a palindrome (7754577).

The spelling of 34322344322343 in words is "thirty-four trillion, three hundred twenty-two billion, three hundred forty-four million, three hundred twenty-two thousand, three hundred forty-three".

Divisors: 1 3 7 11 21 33 77 231 2357 7071 16499 25927 49497 77781 181489 544467 63038429 189115287 441269003 693422719 1323807009 2080268157 4853959033 14561877099 148581577153 445744731459 1040071040071 1634397348683 3120213120213 4903192046049 11440781440781 34322344322343