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4341344040 = 2334511412971
BaseRepresentation
bin1000000101100001…
…11010011100101000
3102012120000010110000
410002300322130220
532342341002130
61554442023000
7212403546465
oct40260723450
912176003400
104341344040
111928637040
12a11aa7a60
13542566a37
142d280a66c
151a61ee260
hex102c3a728

4341344040 has 320 divisors, whose sum is σ = 16312000320. Its totient is φ = 1026432000.

The previous prime is 4341344023. The next prime is 4341344041. The reversal of 4341344040 is 404431434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4341343995 and 4341344013.

It is not an unprimeable number, because it can be changed into a prime (4341344041) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1459755 + ... + 1462725.

It is an arithmetic number, because the mean of its divisors is an integer number (50975001).

Almost surely, 24341344040 is an apocalyptic number.

4341344040 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 4341344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156000160).

4341344040 is an abundant number, since it is smaller than the sum of its proper divisors (11970656280).

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

4341344040 is a wasteful number, since it uses less digits than its factorization.

4341344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4341344040 is about 65888.8764511886. The cubic root of 4341344040 is about 1631.3284163651.

Adding to 4341344040 its reverse (404431434), we get a palindrome (4745775474).

The spelling of 4341344040 in words is "four billion, three hundred forty-one million, three hundred forty-four thousand, forty".