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3123870208 = 29101193313
BaseRepresentation
bin1011101000110010…
…0111101000000000
322001201010001022121
42322030213220000
522344202321313
61233551214024
7140261313214
oct27214475000
98051101277
103123870208
111363385a18
12732217314
133aa264c14
14218c4c944
151343b128d
hexba327a00

3123870208 has 80 divisors (see below), whose sum is σ = 6356340936. Its totient is φ = 1533542400.

The previous prime is 3123870203. The next prime is 3123870223. The reversal of 3123870208 is 8020783213.

It can be written as a sum of positive squares in 4 ways, for example, as 2163366144 + 960504064 = 46512^2 + 30992^2 .

It is not an unprimeable number, because it can be changed into a prime (3123870203) 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 7 ways as a sum of consecutive naturals, for example, 9980260 + ... + 9980572.

Almost surely, 23123870208 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 3123870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178170468).

3123870208 is an abundant number, since it is smaller than the sum of its proper divisors (3232470728).

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

3123870208 is a wasteful number, since it uses less digits than its factorization.

3123870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 3123870208 is about 55891.5933571409. The cubic root of 3123870208 is about 1461.8326595043.

The spelling of 3123870208 in words is "three billion, one hundred twenty-three million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 101 128 193 202 256 313 386 404 512 626 772 808 1252 1544 1616 2504 3088 3232 5008 6176 6464 10016 12352 12928 19493 20032 24704 25856 31613 38986 40064 49408 51712 60409 63226 77972 80128 98816 120818 126452 155944 160256 241636 252904 311888 483272 505808 623776 966544 1011616 1247552 1933088 2023232 2495104 3866176 4046464 4990208 6101309 7732352 8092928 9980416 12202618 15464704 16185856 24405236 30929408 48810472 97620944 195241888 390483776 780967552 1561935104 3123870208