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20340234420 = 223511115326729
BaseRepresentation
bin10010111100010111…
…110101100010110100
31221111112201222010120
4102330113311202310
5313124100000140
613202201451540
71320023065662
oct227427654264
957445658116
1020340234420
1186985941a0
123b37aa0bb0
131bc2021b8c
14dad56dc32
157e0a761d0
hex4bc5f58b4

20340234420 has 96 divisors (see below), whose sum is σ = 62186382720. Its totient is φ = 4926504960.

The previous prime is 20340234419. The next prime is 20340234449. The reversal of 20340234420 is 2443204302.

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 31 ways as a sum of consecutive naturals, for example, 747616 + ... + 774344.

It is an arithmetic number, because the mean of its divisors is an integer number (647774820).

Almost surely, 220340234420 is an apocalyptic number.

20340234420 is a gapful number since it is divisible by the number (20) 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 20340234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31093191360).

20340234420 is an abundant number, since it is smaller than the sum of its proper divisors (41846148300).

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

20340234420 is a wasteful number, since it uses less digits than its factorization.

20340234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27905 (or 27903 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20340234420 its reverse (2443204302), we get a palindrome (22783438722).

The spelling of 20340234420 in words is "twenty billion, three hundred forty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1153 2306 3459 4612 5765 6918 11530 12683 13836 17295 23060 25366 26729 34590 38049 50732 53458 63415 69180 76098 80187 106916 126830 133645 152196 160374 190245 253660 267290 294019 320748 380490 400935 534580 588038 760980 801870 882057 1176076 1470095 1603740 1764114 2940190 3528228 4410285 5880380 8820570 17641140 30818537 61637074 92455611 123274148 154092685 184911222 308185370 339003907 369822444 462278055 616370740 678007814 924556110 1017011721 1356015628 1695019535 1849112220 2034023442 3390039070 4068046884 5085058605 6780078140 10170117210 20340234420