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4341287040 = 273561101367
BaseRepresentation
bin1000000101100001…
…01100100010000000
3102012112220020020220
410002300230202000
532342332141130
61554440503040
7212403221346
oct40260544200
912175806226
104341287040
1119285a8232
12a11a7aa80
13542546acc
142d27d3996
151a61dc410
hex102c2c880

4341287040 has 256 divisors, whose sum is σ = 14242659840. Its totient is φ = 1124352000.

The previous prime is 4341287039. The next prime is 4341287113. The reversal of 4341287040 is 407821434.

It is a junction number, because it is equal to n+sod(n) for n = 4341286992 and 4341287010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11828937 + ... + 11829303.

It is an arithmetic number, because the mean of its divisors is an integer number (55635390).

Almost surely, 24341287040 is an apocalyptic number.

4341287040 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 4341287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121329920).

4341287040 is an abundant number, since it is smaller than the sum of its proper divisors (9901372800).

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

4341287040 is a wasteful number, since it uses less digits than its factorization.

4341287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4341287040 is about 65888.4439033128. The cubic root of 4341287040 is about 1631.3212767845.

The spelling of 4341287040 in words is "four billion, three hundred forty-one million, two hundred eighty-seven thousand, forty".