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34433234433 = 3313617920357
BaseRepresentation
bin100000000100011000…
…010111011000000001
310021212201012112202000
4200010120113120001
51031004402000213
623452435414213
72326200443403
oct400430273001
9107781175660
1034433234433
111366a732744
12680b754369
133329993340
141949134b73
15d67e29c73
hex804617601

34433234433 has 64 divisors (see below), whose sum is σ = 56546380800. Its totient is φ = 20577473280.

The previous prime is 34433234411. The next prime is 34433234453. The reversal of 34433234433 is 33443233443.

It is not a de Polignac number, because 34433234433 - 26 = 34433234369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34433234453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681291 + ... + 1701647.

It is an arithmetic number, because the mean of its divisors is an integer number (883537200).

Almost surely, 234433234433 is an apocalyptic number.

It is an amenable number.

34433234433 is a deficient number, since it is larger than the sum of its proper divisors (22113146367).

34433234433 is a wasteful number, since it uses less digits than its factorization.

34433234433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20513 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

Adding to 34433234433 its reverse (33443233443), we get a palindrome (67876467876).

The spelling of 34433234433 in words is "thirty-four billion, four hundred thirty-three million, two hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 9 13 27 39 61 79 117 183 237 351 549 711 793 1027 1647 2133 2379 3081 4819 7137 9243 14457 20357 21411 27729 43371 61071 62647 130113 183213 187941 264641 549639 563823 793923 1241777 1608203 1691469 2381769 3725331 4824609 7145307 11175993 14473827 16143101 20906639 33527979 43421481 48429303 62719917 98100383 145287909 188159751 294301149 435863727 564479253 882903447 1275304979 2648710341 3825914937 11477744811 34433234433