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2340701440 = 285711217127
BaseRepresentation
bin1000101110000100…
…0100010100000000
320001010102221201221
42023201010110000
514243204421230
61024133204424
7112001430310
oct21341042400
96033387657
102340701440
11aa12a0700
12553a90714
132b3c2604c
14182c25440
15da76127a
hex8b844500

2340701440 has 432 divisors, whose sum is σ = 7516164096. Its totient is φ = 681246720.

The previous prime is 2340701417. The next prime is 2340701443. The reversal of 2340701440 is 441070432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340701443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18430657 + ... + 18430783.

It is an arithmetic number, because the mean of its divisors is an integer number (17398528).

Almost surely, 22340701440 is an apocalyptic number.

2340701440 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 2340701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758082048).

2340701440 is an abundant number, since it is smaller than the sum of its proper divisors (5175462656).

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

2340701440 is a wasteful number, since it uses less digits than its factorization.

2340701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2340701440 is about 48380.7961902241. The cubic root of 2340701440 is about 1327.7470365419.

Adding to 2340701440 its reverse (441070432), we get a palindrome (2781771872).

The spelling of 2340701440 in words is "two billion, three hundred forty million, seven hundred one thousand, four hundred forty".