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34022102044 = 2272381165141
BaseRepresentation
bin11111101011111000…
…000001010000011100
310020211001120212010111
4133223320001100130
51024134124231134
623343551415404
72313046044610
oct375370012034
9106731525114
1034022102044
1113479653907
126715b24564
133292754938
14190a6b3340
15d41cb7c64
hex7ebe0141c

34022102044 has 48 divisors (see below), whose sum is σ = 71091288576. Its totient is φ = 13929537600.

The previous prime is 34022102041. The next prime is 34022102083. The reversal of 34022102044 is 44020122043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489714 + ... + 554854.

It is an arithmetic number, because the mean of its divisors is an integer number (1481068512).

Almost surely, 234022102044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022102044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545644288).

34022102044 is an abundant number, since it is smaller than the sum of its proper divisors (37069186532).

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

34022102044 is a wasteful number, since it uses less digits than its factorization.

34022102044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65986 (or 65984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34022102044 its reverse (44020122043), we get a palindrome (78042224087).

The spelling of 34022102044 in words is "thirty-four billion, twenty-two million, one hundred two thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 811 1622 3244 5677 11354 18653 22708 37306 65141 74612 130282 130571 260564 261142 455987 522284 911974 1498243 1823948 2996486 5992972 10487701 20975402 41950804 52829351 105658702 211317404 369805457 739610914 1215075073 1479221828 2430150146 4860300292 8505525511 17011051022 34022102044