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34424321100 = 223521379111731
BaseRepresentation
bin100000000011110110…
…010111010001001100
310021212002102200221120
4200003312113101030
51031000111233400
623451520400540
72326031621121
oct400366272114
9107762380846
1034424321100
11136656a4a54
126808776150
133327b92290
141947c94748
15d67268ca0
hex803d9744c

34424321100 has 144 divisors (see below), whose sum is σ = 108621381120. Its totient is φ = 8366342400.

The previous prime is 34424321081. The next prime is 34424321123. The reversal of 34424321100 is 112342443.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252235 + ... + 363965.

Almost surely, 234424321100 is an apocalyptic number.

34424321100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34424321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54310690560).

34424321100 is an abundant number, since it is smaller than the sum of its proper divisors (74197060020).

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

34424321100 is a wasteful number, since it uses less digits than its factorization.

34424321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111840 (or 111833 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34424321100 its reverse (112342443), we get a palindrome (34536663543).

The spelling of 34424321100 in words is "thirty-four billion, four hundred twenty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 79 100 130 150 156 158 195 237 260 300 316 325 390 395 474 650 780 790 948 975 1027 1185 1300 1580 1950 1975 2054 2370 3081 3900 3950 4108 4740 5135 5925 6162 7900 10270 11850 12324 15405 20540 23700 25675 30810 51350 61620 77025 102700 111731 154050 223462 308100 335193 446924 558655 670386 1117310 1340772 1452503 1675965 2234620 2793275 2905006 3351930 4357509 5586550 5810012 6703860 7262515 8379825 8715018 8826749 11173100 14525030 16759650 17430036 17653498 21787545 26480247 29050060 33519300 35306996 36312575 43575090 44133745 52960494 72625150 87150180 88267490 105920988 108937725 114747737 132401235 145250300 176534980 217875450 220668725 229495474 264802470 344243211 435750900 441337450 458990948 529604940 573738685 662006175 688486422 882674900 1147477370 1324012350 1376972844 1721216055 2294954740 2648024700 2868693425 3442432110 5737386850 6884864220 8606080275 11474773700 17212160550 34424321100