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3140332000 = 255313131461
BaseRepresentation
bin1011101100101101…
…1010100111100000
322002212002101122121
42323023122213200
522412411111000
61235340114024
7140551244611
oct27313324740
98085071577
103140332000
1113716a9a03
12737835914
133b07a9a20
1421b0d5c08
15135a63b1a
hexbb2da9e0

3140332000 has 192 divisors, whose sum is σ = 8390910528. Its totient is φ = 1148160000.

The previous prime is 3140331977. The next prime is 3140332049. The reversal of 3140332000 is 2330413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6811770 + ... + 6812230.

It is an arithmetic number, because the mean of its divisors is an integer number (43702659).

Almost surely, 23140332000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195455264).

3140332000 is an abundant number, since it is smaller than the sum of its proper divisors (5250578528).

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

3140332000 is a wasteful number, since it uses less digits than its factorization.

3140332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3140332000 is about 56038.6652232189. The cubic root of 3140332000 is about 1464.3959582729.

Adding to 3140332000 its reverse (2330413), we get a palindrome (3142662413).

The spelling of 3140332000 in words is "three billion, one hundred forty million, three hundred thirty-two thousand".