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20345434140 = 2235339090569
BaseRepresentation
bin10010111100101011…
…101011000000011100
31221111220112010210210
4102330223223000130
5313131412343030
613202505132420
71320115223343
oct227453530034
957456463723
1020345434140
1186a0515889
123b3978a110
131bc3122835
14db0124b5a
157e1251bb0
hex4bcaeb01c

20345434140 has 24 divisors (see below), whose sum is σ = 56967215760. Its totient is φ = 5425449088.

The previous prime is 20345434117. The next prime is 20345434147. The reversal of 20345434140 is 4143454302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20345434098 and 20345434107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345434147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 169545225 + ... + 169545344.

It is an arithmetic number, because the mean of its divisors is an integer number (2373633990).

Almost surely, 220345434140 is an apocalyptic number.

20345434140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20345434140 is an abundant number, since it is smaller than the sum of its proper divisors (36621781620).

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

20345434140 is a wasteful number, since it uses less digits than its factorization.

20345434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339090581 (or 339090579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20345434140 its reverse (4143454302), we get a palindrome (24488888442).

The spelling of 20345434140 in words is "twenty billion, three hundred forty-five million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 339090569 678181138 1017271707 1356362276 1695452845 2034543414 3390905690 4069086828 5086358535 6781811380 10172717070 20345434140