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3143839104 = 273271721971
BaseRepresentation
bin1011101101100011…
…0010110110000000
322010002200120111100
42323120302312000
522414310322404
61235543214400
7140623122450
oct27330626600
98102616440
103143839104
11137368493a
12738a47400
133b1437133
1421b769d60
15136007d39
hexbb632d80

3143839104 has 576 divisors, whose sum is σ = 11723961600. Its totient is φ = 789626880.

The previous prime is 3143839081. The next prime is 3143839129. The reversal of 3143839104 is 4019383413.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44279389 + ... + 44279459.

It is an arithmetic number, because the mean of its divisors is an integer number (20354100).

Almost surely, 23143839104 is an apocalyptic number.

3143839104 is a gapful number since it is divisible by the number (34) 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 3143839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861980800).

3143839104 is an abundant number, since it is smaller than the sum of its proper divisors (8580122496).

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

3143839104 is a wasteful number, since it uses less digits than its factorization.

3143839104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3143839104 is about 56069.9483145829. The cubic root of 3143839104 is about 1464.9408983445.

The spelling of 3143839104 in words is "three billion, one hundred forty-three million, eight hundred thirty-nine thousand, one hundred four".