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3681864 = 233251137
BaseRepresentation
bin1110000010111001001000
320221001120100
432002321020
51420304424
6210525400
743203204
oct16027110
96831510
103681864
11209526a
121296860
139bbb24
146bbb04
154cadc9
hex382e48

3681864 has 24 divisors (see below), whose sum is σ = 9971910. Its totient is φ = 1227264.

The previous prime is 3681827. The next prime is 3681871. The reversal of 3681864 is 4681863.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2340900 + 1340964 = 1530^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×36818642 = 27112245028992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25497 + ... + 25640.

Almost surely, 23681864 is an apocalyptic number.

It is an amenable number.

3681864 is an abundant number, since it is smaller than the sum of its proper divisors (6290046).

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

3681864 is a wasteful number, since it uses less digits than its factorization.

3681864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51149 (or 51142 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3681864 is about 1918.8183864035. The cubic root of 3681864 is about 154.4149152907.

Subtracting 3681864 from its reverse (4681863), we obtain a palindrome (999999).

The spelling of 3681864 in words is "three million, six hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 51137 102274 153411 204548 306822 409096 460233 613644 920466 1227288 1840932 3681864