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34221204342 = 232131931724281
BaseRepresentation
bin11111110111101111…
…100010001101110110
310021022221020022010200
4133313233202031312
51030041112014332
623415423101330
72321014303023
oct376757421566
9107287208120
1034221204342
1113570a83366
126770741846
1332c4a86450
141928d0054a
15d544e617c
hex7f7be2376

34221204342 has 96 divisors (see below), whose sum is σ = 84320701920. Its totient is φ = 9943534080.

The previous prime is 34221204331. The next prime is 34221204343. The reversal of 34221204342 is 24340212243.

34221204342 is a `hidden beast` number, since 3 + 4 + 221 + 2 + 0 + 434 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221204343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397242 + ... + 1421522.

It is an arithmetic number, because the mean of its divisors is an integer number (878340645).

Almost surely, 234221204342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221204342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42160350960).

34221204342 is an abundant number, since it is smaller than the sum of its proper divisors (50099497578).

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

34221204342 is a wasteful number, since it uses less digits than its factorization.

34221204342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24638 (or 24635 counting only the distinct ones).

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

Adding to 34221204342 its reverse (24340212243), we get a palindrome (58561416585).

It can be divided in two parts, 342 and 21204342, that multiplied together give a square (7251884964 = 851582).

The spelling of 34221204342 in words is "thirty-four billion, two hundred twenty-one million, two hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 317 342 494 634 741 951 1482 1902 2223 2853 4121 4446 5706 6023 8242 12046 12363 18069 24281 24726 36138 37089 48562 54207 72843 74178 78299 108414 145686 156598 218529 234897 315653 437058 461339 469794 631306 704691 922678 946959 1384017 1409382 1893918 2768034 2840877 4152051 5681754 5997407 7697077 8304102 11994814 15394154 17992221 23091231 35984442 46182462 53976663 69273693 100062001 107953326 138547386 146244463 200124002 292488926 300186003 438733389 600372006 877466778 900558009 1316200167 1801116018 1901178019 2632400334 3802356038 5703534057 11407068114 17110602171 34221204342