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3745664 = 27132251
BaseRepresentation
bin1110010010011110000000
321001022002022
432102132000
51424330124
6212141012
743560206
oct16223600
97038068
103745664
11212919a
121307768
13a11b90
146d7076
154dec5e
hex392780

3745664 has 32 divisors (see below), whose sum is σ = 8039640. Its totient is φ = 1728000.

The previous prime is 3745663. The next prime is 3745691. The reversal of 3745664 is 4665473.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539 + ... + 2789.

Almost surely, 23745664 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 3745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019820).

3745664 is an abundant number, since it is smaller than the sum of its proper divisors (4293976).

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

3745664 is a wasteful number, since it uses less digits than its factorization.

3745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2266 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 3745664 is about 1935.3717989058. The cubic root of 3745664 is about 155.3017223810.

The spelling of 3745664 in words is "three million, seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2251 4502 9004 18008 29263 36016 58526 72032 117052 144064 234104 288128 468208 936416 1872832 3745664