Search a number
-
+
20034352340 = 22541197124021
BaseRepresentation
bin10010101010001000…
…111111010011010100
31220201020011112210122
4102222020333103110
5312012243233330
613111553411112
71306320120332
oct225210772324
956636145718
1020034352340
118550962492
123a71569a98
131b73844972
14d80aa8b52
157c3ca45e5
hex4aa23f4d4

20034352340 has 48 divisors (see below), whose sum is σ = 43317411984. Its totient is φ = 7778534400.

The previous prime is 20034352333. The next prime is 20034352357. The reversal of 20034352340 is 4325343002.

It can be written as a sum of positive squares in 8 ways, for example, as 1227521296 + 18806831044 = 35036^2 + 137138^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99530 + ... + 223550.

It is an arithmetic number, because the mean of its divisors is an integer number (902446083).

Almost surely, 220034352340 is an apocalyptic number.

20034352340 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 20034352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658705992).

20034352340 is an abundant number, since it is smaller than the sum of its proper divisors (23283059644).

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

20034352340 is a wasteful number, since it uses less digits than its factorization.

20034352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124268 (or 124266 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 20034352340 its reverse (4325343002), we get a palindrome (24359695342).

The spelling of 20034352340 in words is "twenty billion, thirty-four million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1970 3940 8077 16154 32308 40385 80770 124021 161540 248042 496084 620105 1240210 2480420 5084861 10169722 20339444 24432137 25424305 48864274 50848610 97728548 101697220 122160685 244321370 488642740 1001717617 2003435234 4006870468 5008588085 10017176170 20034352340