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34042250352 = 24311256910301
BaseRepresentation
bin11111101101000100…
…111000010001110000
310020212110111111102010
4133231010320101300
51024204304002402
623345551322520
72313412232205
oct375504702160
9106773444363
1034042250352
1113489a65600
126720820440
13329698a706
14190d239cac
15d43947a6c
hex7ed138470

34042250352 has 120 divisors (see below), whose sum is σ = 96843332880. Its totient is φ = 10296704000.

The previous prime is 34042250351. The next prime is 34042250393. The reversal of 34042250352 is 25305224043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042250351) 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 23 ways as a sum of consecutive naturals, for example, 3299602 + ... + 3309902.

It is an arithmetic number, because the mean of its divisors is an integer number (807027774).

Almost surely, 234042250352 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 34042250352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48421666440).

34042250352 is an abundant number, since it is smaller than the sum of its proper divisors (62801082528).

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

34042250352 is a wasteful number, since it uses less digits than its factorization.

34042250352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34042250352 its reverse (25305224043), we get a palindrome (59347474395).

The spelling of 34042250352 in words is "thirty-four billion, forty-two million, two hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 569 726 968 1138 1452 1707 1936 2276 2904 3414 4552 5808 6259 6828 9104 10301 12518 13656 18777 20602 25036 27312 30903 37554 41204 50072 61806 68849 75108 82408 100144 113311 123612 137698 150216 164816 206547 226622 247224 275396 300432 339933 413094 453244 494448 550792 679866 826188 906488 1101584 1246421 1359732 1652376 1812976 2492842 2719464 3304752 3739263 4985684 5438928 5861269 7478526 9971368 11722538 14957052 17583807 19942736 23445076 29914104 35167614 46890152 59828208 64473959 70335228 93780304 128947918 140670456 193421877 257895836 281340912 386843754 515791672 709213549 773687508 1031583344 1418427098 1547375016 2127640647 2836854196 3094750032 4255281294 5673708392 8510562588 11347416784 17021125176 34042250352