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3684464 = 24767491
BaseRepresentation
bin1110000011100001110000
320221012010122
432003201300
51420400324
6210545412
743213610
oct16034160
96835118
103684464
112097213
121298268
139c0074
146bca40
154cba5e
hex383870

3684464 has 40 divisors (see below), whose sum is σ = 8297088. Its totient is φ = 1552320.

The previous prime is 3684463. The next prime is 3684467. The reversal of 3684464 is 4644863.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7259 + ... + 7749.

Almost surely, 23684464 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 3684464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148544).

3684464 is an abundant number, since it is smaller than the sum of its proper divisors (4612624).

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

3684464 is a wasteful number, since it uses less digits than its factorization.

3684464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 3684464 is about 1919.4957671222. The cubic root of 3684464 is about 154.4512541590.

The spelling of 3684464 in words is "three million, six hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 491 536 938 982 1072 1876 1964 3437 3752 3928 6874 7504 7856 13748 27496 32897 54992 65794 131588 230279 263176 460558 526352 921116 1842232 3684464