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3485664 = 2532721319
BaseRepresentation
bin1101010010111111100000
320120002102200
431102333200
51343020124
6202413200
741425200
oct15227740
96502380
103485664
111a70916
121201200
13950730
1466a400
1548cbc9
hex352fe0

3485664 has 216 divisors, whose sum is σ = 13071240. Its totient is φ = 870912.

The previous prime is 3485641. The next prime is 3485681. The reversal of 3485664 is 4665843.

3485664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183447 + ... + 183465.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

Almost surely, 23485664 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 3485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

3485664 is an abundant number, since it is smaller than the sum of its proper divisors (9585576).

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

3485664 is a wasteful number, since it uses less digits than its factorization.

3485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3485664 is about 1866.9933047550. The cubic root of 3485664 is about 151.6218671102.

The spelling of 3485664 in words is "three million, four hundred eighty-five thousand, six hundred sixty-four".