Search a number
-
+
3660320664 = 233771121319
BaseRepresentation
bin1101101000101100…
…0000111110011000
3100110002112120000000
43122023000332120
524444020230124
61403113213000
7156464132550
oct33213007630
910402476000
103660320664
111609179100
12861a01160
13464440020
1426a1b2160
151665296c9
hexda2c0f98

3660320664 has 768 divisors, whose sum is σ = 14657664000. Its totient is φ = 831409920.

The previous prime is 3660320663. The next prime is 3660320687. The reversal of 3660320664 is 4660230663.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660320663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192648447 + ... + 192648465.

It is an arithmetic number, because the mean of its divisors is an integer number (19085500).

Almost surely, 23660320664 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 3660320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328832000).

3660320664 is an abundant number, since it is smaller than the sum of its proper divisors (10997343336).

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

3660320664 is a wasteful number, since it uses less digits than its factorization.

3660320664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3660320664 is about 60500.5839971814. The cubic root of 3660320664 is about 1541.1315493177.

Subtracting 3660320664 from its reverse (4660230663), we obtain a palindrome (999909999).

The spelling of 3660320664 in words is "three billion, six hundred sixty million, three hundred twenty thousand, six hundred sixty-four".