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34222336344 = 2332773930157
BaseRepresentation
bin11111110111110011…
…110110100101011000
310021100000100210221200
4133313303312211120
51030041404230334
623415503234200
72321030026230
oct376763664530
9107300323850
1034222336344
11135716868a9
126770ba8960
1332c5091781
141929116cc0
15d5466b799
hex7f7cf6958

34222336344 has 96 divisors (see below), whose sum is σ = 107377439520. Its totient is φ = 9643857408.

The previous prime is 34222336307. The next prime is 34222336361. The reversal of 34222336344 is 44363322243.

34222336344 is a `hidden beast` number, since 34 + 2 + 223 + 363 + 44 = 666.

It is a super-4 number, since 4×342223363444 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 34222336299 and 34222336308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 428287 + ... + 501870.

It is an arithmetic number, because the mean of its divisors is an integer number (1118514995).

Almost surely, 234222336344 is an apocalyptic number.

It is an amenable number.

34222336344 is an abundant number, since it is smaller than the sum of its proper divisors (73155103176).

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

34222336344 is a wasteful number, since it uses less digits than its factorization.

34222336344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930249 (or 930242 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 34222336344 its reverse (44363322243), we get a palindrome (78585658587).

The spelling of 34222336344 in words is "thirty-four billion, two hundred twenty-two million, three hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 4088 4599 5256 6132 9198 12264 18396 36792 930157 1860314 2790471 3720628 5580942 6511099 7441256 8371413 11161884 13022198 16742826 19533297 22323768 26044396 33485652 39066594 52088792 58599891 66971304 67901461 78133188 117199782 135802922 156266376 203704383 234399564 271605844 407408766 468799128 475310227 543211688 611113149 814817532 950620454 1222226298 1425930681 1629635064 1901240908 2444452596 2851861362 3802481816 4277792043 4888905192 5703722724 8555584086 11407445448 17111168172 34222336344