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34424234320 = 24571723157217
BaseRepresentation
bin100000000011110110…
…000010000101010000
310021212002021021220111
4200003312002011100
51031000100444240
623451514451104
72326031110120
oct400366020520
9107762237814
1034424234320
1113665645833
126808733a94
133327b61928
141947c70c80
15d6724d1ea
hex803d82150

34424234320 has 160 divisors (see below), whose sum is σ = 101062245888. Its totient is φ = 10625286144.

The previous prime is 34424234287. The next prime is 34424234321. The reversal of 34424234320 is 2343242443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424234321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140352 + ... + 297568.

Almost surely, 234424234320 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 34424234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50531122944).

34424234320 is an abundant number, since it is smaller than the sum of its proper divisors (66638011568).

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

34424234320 is a wasteful number, since it uses less digits than its factorization.

34424234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157277 (or 157271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 34424234320 its reverse (2343242443), we get a palindrome (36767476763).

The spelling of 34424234320 in words is "thirty-four billion, four hundred twenty-four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 23 28 34 35 40 46 56 68 70 80 85 92 112 115 119 136 140 161 170 184 230 238 272 280 322 340 368 391 460 476 560 595 644 680 782 805 920 952 1190 1288 1360 1564 1610 1840 1904 1955 2380 2576 2737 3128 3220 3910 4760 5474 6256 6440 7820 9520 10948 12880 13685 15640 21896 27370 31280 43792 54740 109480 157217 218960 314434 628868 786085 1100519 1257736 1572170 2201038 2515472 2672689 3144340 3615991 4402076 5345378 5502595 6288680 7231982 8804152 10690756 11005190 12577360 13363445 14463964 17608304 18079955 18708823 21381512 22010380 25311937 26726890 28927928 36159910 37417646 42763024 44020760 50623874 53453780 57855856 61471847 72319820 74835292 88041520 93544115 101247748 106907560 122943694 126559685 144639640 149670584 187088230 202495496 213815120 245887388 253119370 289279280 299341168 307359235 374176460 404990992 430302929 491774776 506238740 614718470 748352920 860605858 983549552 1012477480 1229436940 1496705840 1721211716 2024954960 2151514645 2458873880 3442423432 4303029290 4917747760 6884846864 8606058580 17212117160 34424234320