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3683934180 = 2232520466301
BaseRepresentation
bin1101101110010100…
…0101111111100100
3100111201222020122200
43123211011333210
530021041343210
61405315254500
7160201631613
oct33345057744
910451866580
103683934180
111620537303
128698aa430
134692ba114
1426d39b87a
151686410c0
hexdb945fe4

3683934180 has 36 divisors (see below), whose sum is σ = 11174600892. Its totient is φ = 982382400.

The previous prime is 3683934161. The next prime is 3683934181. The reversal of 3683934180 is 814393863.

It can be written as a sum of positive squares in 2 ways, for example, as 1425213504 + 2258720676 = 37752^2 + 47526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3683934181) 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 11 ways as a sum of consecutive naturals, for example, 10232971 + ... + 10233330.

Almost surely, 23683934180 is an apocalyptic number.

3683934180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3683934180 is an abundant number, since it is smaller than the sum of its proper divisors (7490666712).

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

3683934180 is a wasteful number, since it uses less digits than its factorization.

3683934180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466316 (or 20466311 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3683934180 is about 60695.4214088674. The cubic root of 3683934180 is about 1544.4385052343.

The spelling of 3683934180 in words is "three billion, six hundred eighty-three million, nine hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20466301 40932602 61398903 81865204 102331505 122797806 184196709 204663010 245595612 306994515 368393418 409326020 613989030 736786836 920983545 1227978060 1841967090 3683934180