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34021319028 = 22329797122663
BaseRepresentation
bin11111101011110101…
…000010000101110100
310020211000010002000220
4133223311002011310
51024133424202103
623343522534340
72313036304014
oct375365020564
9106730102026
1034021319028
1113479169594
1267158073b0
13329253c408
14190a54bc44
15d41bb0c53
hex7ebd42174

34021319028 has 48 divisors (see below), whose sum is σ = 82224132480. Its totient is φ = 10935562624.

The previous prime is 34021319023. The next prime is 34021319051. The reversal of 34021319028 is 82091312043.

It is a self number, because there is not a number n which added to its sum of digits gives 34021319028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021319021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216025 + ... + 338687.

It is an arithmetic number, because the mean of its divisors is an integer number (1713002760).

Almost surely, 234021319028 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 34021319028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41112066240).

34021319028 is an abundant number, since it is smaller than the sum of its proper divisors (48202813452).

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

34021319028 is a wasteful number, since it uses less digits than its factorization.

34021319028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123496 (or 123494 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 34021319028 in words is "thirty-four billion, twenty-one million, three hundred nineteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 797 1594 2391 3188 4782 9564 23113 46226 69339 92452 122663 138678 245326 277356 367989 490652 735978 1471956 3557227 7114454 10671681 14228908 21343362 42686724 97762411 195524822 293287233 391049644 586574466 1173148932 2835109919 5670219838 8505329757 11340439676 17010659514 34021319028