Search a number
-
+
3664000 = 2753229
BaseRepresentation
bin1101111110100010000000
320220011001201
431332202000
51414222000
6210310544
743100134
oct15764200
96804051
103664000
1120828aa
121288454
139b3962
146b53c4
154c596a
hex37e880

3664000 has 64 divisors (see below), whose sum is σ = 9149400. Its totient is φ = 1459200.

The previous prime is 3663971. The next prime is 3664013. The reversal of 3664000 is 4663.

It is a happy number.

3664000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 1658944 = 1416^2 + 1288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15886 + ... + 16114.

Almost surely, 23664000 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 3664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574700).

3664000 is an abundant number, since it is smaller than the sum of its proper divisors (5485400).

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

3664000 is an equidigital number, since it uses as much as digits as its factorization.

3664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3664000 is about 1914.1577782409. The cubic root of 3664000 is about 154.1647755632.

Adding to 3664000 its reverse (4663), we get a palindrome (3668663).

The spelling of 3664000 in words is "three million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 229 250 320 400 458 500 640 800 916 1000 1145 1600 1832 2000 2290 3200 3664 4000 4580 5725 7328 8000 9160 11450 14656 16000 18320 22900 28625 29312 36640 45800 57250 73280 91600 114500 146560 183200 229000 366400 458000 732800 916000 1832000 3664000