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34411443020 = 225192272691483
BaseRepresentation
bin100000000011000101…
…001111001101001100
310021211012012102112122
4200003011033031030
51030433312134040
623450340352112
72325514303523
oct400305171514
9107735172478
1034411443020
11136593a9509
1268043a5638
133325303706
1419462a14ba
15d660731b5
hex80314f34c

34411443020 has 96 divisors (see below), whose sum is σ = 76738233600. Its totient is φ = 12925695744.

The previous prime is 34411443013. The next prime is 34411443029. The reversal of 34411443020 is 2034411443.

It is not an unprimeable number, because it can be changed into a prime (34411443029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23203199 + ... + 23204681.

It is an arithmetic number, because the mean of its divisors is an integer number (799356600).

Almost surely, 234411443020 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 34411443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38369116800).

34411443020 is an abundant number, since it is smaller than the sum of its proper divisors (42326790580).

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

34411443020 is a wasteful number, since it uses less digits than its factorization.

34411443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34411443020 its reverse (2034411443), we get a palindrome (36445854463).

The spelling of 34411443020 in words is "thirty-four billion, four hundred eleven million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 269 380 454 538 908 1076 1135 1345 1483 2270 2690 2966 4313 4540 5111 5380 5932 7415 8626 10222 14830 17252 20444 21565 25555 28177 29660 43130 51110 56354 61063 86260 102220 112708 122126 140885 244252 281770 305315 336641 398927 563540 610630 673282 797854 1160197 1221260 1346564 1595708 1683205 1994635 2320394 3366410 3989270 4640788 5800985 6396179 6732820 7579613 7978540 11601970 12792358 15159226 23203940 25584716 30318452 31980895 37898065 63961790 75796130 90556429 127923580 151592260 181112858 362225716 452782145 905564290 1720572151 1811128580 3441144302 6882288604 8602860755 17205721510 34411443020