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34020522324 = 22323168344633
BaseRepresentation
bin11111101011110001…
…111111100101010100
310020210221121121011100
4133223301333211110
51024133223203244
623343453510100
72313026445165
oct375361774524
9106727547140
1034020522324
1113478774a58
1267154a2330
1332923208a9
14190a3c176c
15d41aa4b69
hex7ebc7f954

34020522324 has 72 divisors (see below), whose sum is σ = 88902358272. Its totient is φ = 10958048640.

The previous prime is 34020522259. The next prime is 34020522329. The reversal of 34020522324 is 42322502043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020522329) 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 23 ways as a sum of consecutive naturals, for example, 739912 + ... + 784544.

It is an arithmetic number, because the mean of its divisors is an integer number (1234754976).

Almost surely, 234020522324 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 34020522324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451179136).

34020522324 is an abundant number, since it is smaller than the sum of its proper divisors (54881835948).

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

34020522324 is a wasteful number, since it uses less digits than its factorization.

34020522324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45357 (or 45352 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The spelling of 34020522324 in words is "thirty-four billion, twenty million, five hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 683 1116 1366 2049 2732 4098 6147 8196 12294 21173 24588 42346 44633 63519 84692 89266 127038 133899 178532 190557 254076 267798 381114 401697 535596 762228 803394 1383623 1606788 2767246 4150869 5534492 8301738 12452607 16603476 24905214 30484339 49810428 60968678 91453017 121937356 182906034 274359051 365812068 548718102 945014509 1097436204 1890029018 2835043527 3780058036 5670087054 8505130581 11340174108 17010261162 34020522324