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32340000020 = 225101149107449
BaseRepresentation
bin11110000111100111…
…010011110100010100
310002110211102012221112
4132013213103310110
51012213020000040
622505022234152
72223262315226
oct360747236424
9102424365845
1032340000020
11127960a5749
126326725958
133085103ab3
1417cb12a416
15c9429c365
hex7879d3d14

32340000020 has 48 divisors (see below), whose sum is σ = 69047370000. Its totient is φ = 12721843200.

The previous prime is 32340000013. The next prime is 32340000047. The reversal of 32340000020 is 2000004323.

It can be written as a sum of positive squares in 8 ways, for example, as 3576518416 + 28763481604 = 59804^2 + 169598^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247256 + ... + 354704.

It is an arithmetic number, because the mean of its divisors is an integer number (1438486875).

Almost surely, 232340000020 is an apocalyptic number.

It is an amenable number.

32340000020 is an abundant number, since it is smaller than the sum of its proper divisors (36707369980).

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

32340000020 is a wasteful number, since it uses less digits than its factorization.

32340000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107708 (or 107706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 32340000020 its reverse (2000004323), we get a palindrome (34340004343).

The spelling of 32340000020 in words is "thirty-two billion, three hundred forty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 101 149 202 298 404 505 596 745 1010 1490 2020 2980 15049 30098 60196 75245 107449 150490 214898 300980 429796 537245 1074490 2148980 10852349 16009901 21704698 32019802 43409396 54261745 64039604 80049505 108523490 160099010 217046980 320198020 1617000001 3234000002 6468000004 8085000005 16170000010 32340000020