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3142107360 = 253257244531
BaseRepresentation
bin1011101101001000…
…1100000011100000
322002222102120222200
42323102030003200
522413334413420
61235442133200
7140602320600
oct27322140340
98088376880
103142107360
111372701847
12738351200
133b0c7bb32
1421b438c00
15135cb4b90
hexbb48c0e0

3142107360 has 216 divisors, whose sum is σ = 12473324136. Its totient is φ = 718179840.

The previous prime is 3142107347. The next prime is 3142107361. The reversal of 3142107360 is 637012413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142107361) 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 35 ways as a sum of consecutive naturals, for example, 48295 + ... + 92825.

It is an arithmetic number, because the mean of its divisors is an integer number (57746871).

Almost surely, 23142107360 is an apocalyptic number.

3142107360 is a gapful number since it is divisible by the number (30) 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 3142107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236662068).

3142107360 is an abundant number, since it is smaller than the sum of its proper divisors (9331216776).

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

3142107360 is a wasteful number, since it uses less digits than its factorization.

3142107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44566 (or 44548 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3142107360 is about 56054.5034765272. The cubic root of 3142107360 is about 1464.6718675538.

Adding to 3142107360 its reverse (637012413), we get a palindrome (3779119773).

The spelling of 3142107360 in words is "three billion, one hundred forty-two million, one hundred seven thousand, three hundred sixty".