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4340310240 = 2535721091693
BaseRepresentation
bin1000000101011001…
…11110000011100000
3102012111001121100010
410002230332003200
532342104411430
61554403524520
7212362012500
oct40254760340
912174047303
104340310240
111927aa0362
12a11689740
13542294316
142d261ba00
151a6097cb0
hex102b3e0e0

4340310240 has 288 divisors, whose sum is σ = 16059526560. Its totient is φ = 982388736.

The previous prime is 4340310223. The next prime is 4340310263. The reversal of 4340310240 is 420130434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2562834 + ... + 2564526.

It is an arithmetic number, because the mean of its divisors is an integer number (55762245).

Almost surely, 24340310240 is an apocalyptic number.

4340310240 is a gapful number since it is divisible by the number (40) 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 4340310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029763280).

4340310240 is an abundant number, since it is smaller than the sum of its proper divisors (11719216320).

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

4340310240 is a wasteful number, since it uses less digits than its factorization.

4340310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4340310240 is about 65881.0309573249. The cubic root of 4340310240 is about 1631.1989172066.

Adding to 4340310240 its reverse (420130434), we get a palindrome (4760440674).

The spelling of 4340310240 in words is "four billion, three hundred forty million, three hundred ten thousand, two hundred forty".