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34222334424 = 23319486115439
BaseRepresentation
bin11111110111110011…
…110110000111011000
310021100000100201022120
4133313303312013120
51030041404200144
623415503221240
72321030020515
oct376763660730
9107300321276
1034222334424
1113571685413
126770ba7820
1332c5090935
14192911630c
15d5466ae19
hex7f7cf61d8

34222334424 has 64 divisors (see below), whose sum is σ = 90083136000. Its totient is φ = 10804129920.

The previous prime is 34222334423. The next prime is 34222334431. The reversal of 34222334424 is 42443322243.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222334423) 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 15 ways as a sum of consecutive naturals, for example, 2208897 + ... + 2224335.

It is an arithmetic number, because the mean of its divisors is an integer number (1407549000).

Almost surely, 234222334424 is an apocalyptic number.

It is an amenable number.

34222334424 is an abundant number, since it is smaller than the sum of its proper divisors (55860801576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34222334424 is a wasteful number, since it uses less digits than its factorization.

34222334424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328 (or 20324 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

Adding to 34222334424 its reverse (42443322243), we get a palindrome (76665656667).

The spelling of 34222334424 in words is "thirty-four billion, two hundred twenty-two million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4861 9722 14583 15439 19444 29166 30878 38888 46317 58332 61756 92359 92634 116664 123512 184718 185268 277077 293341 369436 370536 554154 586682 738872 880023 1108308 1173364 1760046 2216616 2346728 3520092 7040184 75048979 150097958 225146937 300195916 450293874 600391832 900587748 1425930601 1801175496 2851861202 4277791803 5703722404 8555583606 11407444808 17111167212 34222334424