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34044310422 = 23331191310631
BaseRepresentation
bin11111101101001100…
…101111001110010110
310020212121101011022000
4133231030233032112
51024210320413142
623350103420130
72313435602223
oct375514571626
9106777334260
1034044310422
1113490142341
126721454646
13329722c2a5
14190d61494a
15d43c0314c
hex7ed32f396

34044310422 has 64 divisors (see below), whose sum is σ = 78142648320. Its totient is φ = 10975262400.

The previous prime is 34044310369. The next prime is 34044310471. The reversal of 34044310422 is 22401344043.

It is a happy number.

34044310422 is a `hidden beast` number, since 340 + 4 + 4 + 310 + 4 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3197047 + ... + 3207677.

It is an arithmetic number, because the mean of its divisors is an integer number (1220978880).

Almost surely, 234044310422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34044310422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39071324160).

34044310422 is an abundant number, since it is smaller than the sum of its proper divisors (44098337898).

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

34044310422 is a wasteful number, since it uses less digits than its factorization.

34044310422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34044310422 its reverse (22401344043), we get a palindrome (56445654465).

The spelling of 34044310422 in words is "thirty-four billion, forty-four million, three hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 1913 3826 5739 10631 11478 17217 21262 31893 34434 51651 59303 63786 95679 103302 118606 177909 191358 287037 329561 355818 533727 574074 659122 988683 1067454 1601181 1977366 2966049 3202362 5932098 8898147 17796294 20337103 40674206 61011309 122022618 183033927 366067854 549101781 630450193 1098203562 1260900386 1891350579 3782701158 5674051737 11348103474 17022155211 34044310422