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2340340020 = 22335172959149
BaseRepresentation
bin1000101101111110…
…1100000100110100
320001002202120222000
42023133230010310
514243111340040
61024121335300
7111665363514
oct21337540464
96032676860
102340340020
11aa1074107
12553937530
132b3b2a6a5
14182b6d844
15da6de130
hex8b7ec134

2340340020 has 384 divisors, whose sum is σ = 8164800000. Its totient is φ = 553771008.

The previous prime is 2340340019. The next prime is 2340340031. The reversal of 2340340020 is 200430432.

2340340020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2340339975 and 2340340002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15706906 + ... + 15707054.

It is an arithmetic number, because the mean of its divisors is an integer number (21262500).

Almost surely, 22340340020 is an apocalyptic number.

2340340020 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 2340340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400000).

2340340020 is an abundant number, since it is smaller than the sum of its proper divisors (5824459980).

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

2340340020 is a wasteful number, since it uses less digits than its factorization.

2340340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2340340020 is about 48377.0608863333. The cubic root of 2340340020 is about 1327.6786953420.

Adding to 2340340020 its reverse (200430432), we get a palindrome (2540770452).

The spelling of 2340340020 in words is "two billion, three hundred forty million, three hundred forty thousand, twenty".