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34424066300 = 22521327192833
BaseRepresentation
bin100000000011110101…
…011001000011111100
310021212001221202102112
4200003311121003330
51031000030110200
623451511113152
72326026510221
oct400365310374
9107761852375
1034424066300
1113665540578
1268086727b8
133327b03300
141947c29948
15d67218535
hex803d590fc

34424066300 has 108 divisors (see below), whose sum is σ = 81029501280. Its totient is φ = 12688266240.

The previous prime is 34424066279. The next prime is 34424066311. The reversal of 34424066300 is 366042443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12149684 + ... + 12152516.

It is an arithmetic number, because the mean of its divisors is an integer number (750273160).

Almost surely, 234424066300 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 34424066300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514750640).

34424066300 is an abundant number, since it is smaller than the sum of its proper divisors (46605434980).

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

34424066300 is a wasteful number, since it uses less digits than its factorization.

34424066300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 34424066300 in words is "thirty-four billion, four hundred twenty-four million, sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 719 845 1300 1438 1690 2833 2876 3380 3595 4225 5666 7190 8450 9347 11332 14165 14380 16900 17975 18694 28330 35950 36829 37388 46735 56660 70825 71900 73658 93470 121511 141650 147316 184145 186940 233675 243022 283300 368290 467350 478777 486044 607555 736580 920725 934700 957554 1215110 1841450 1915108 2036927 2393885 2430220 3037775 3682900 4073854 4787770 6075550 8147708 9575540 10184635 11969425 12151100 20369270 23938850 26480051 40738540 47877700 50923175 52960102 101846350 105920204 132400255 203692700 264800510 344240663 529601020 662001275 688481326 1324002550 1376962652 1721203315 2648005100 3442406630 6884813260 8606016575 17212033150 34424066300