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3143837688 = 2334110331019
BaseRepresentation
bin1011101101100011…
…0010011111111000
322010002200111112220
42323120302133320
522414310301223
61235543204040
7140623115355
oct27330623770
98102614486
103143837688
111373683872
12738a46620
133b14365b4
1421b76962c
151360076e3
hexbb6327f8

3143837688 has 64 divisors (see below), whose sum is σ = 8129721600. Its totient is φ = 1012427520.

The previous prime is 3143837687. The next prime is 3143837707. The reversal of 3143837688 is 8867383413.

It is a super-3 number, since 3×31438376883 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3143837688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143837687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85843 + ... + 116861.

It is an arithmetic number, because the mean of its divisors is an integer number (127026900).

Almost surely, 23143837688 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 3143837688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064860800).

3143837688 is an abundant number, since it is smaller than the sum of its proper divisors (4985883912).

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

3143837688 is a wasteful number, since it uses less digits than its factorization.

3143837688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31172 (or 31168 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 3143837688 is about 56069.9356874966. The cubic root of 3143837688 is about 1464.9406784057.

The spelling of 3143837688 in words is "three billion, one hundred forty-three million, eight hundred thirty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 164 206 246 309 328 412 492 618 824 984 1236 2472 4223 8446 12669 16892 25338 31019 33784 50676 62038 93057 101352 124076 186114 248152 372228 744456 1271779 2543558 3194957 3815337 5087116 6389914 7630674 9584871 10174232 12779828 15261348 19169742 25559656 30522696 38339484 76678968 130993237 261986474 392979711 523972948 785959422 1047945896 1571918844 3143837688