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3864704 = 27109277
BaseRepresentation
bin1110101111100010000000
321021100101012
432233202000
51442132304
6214500052
744564234
oct16574200
97240335
103864704
1121aa678
121364628
13a5410c
147285c4
1551516e
hex3af880

3864704 has 32 divisors (see below), whose sum is σ = 7797900. Its totient is φ = 1907712.

The previous prime is 3864703. The next prime is 3864709. The reversal of 3864704 is 4074683.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 23104 = 1960^2 + 152^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3864703) 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, 13814 + ... + 14090.

Almost surely, 23864704 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 3864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898950).

3864704 is an abundant number, since it is smaller than the sum of its proper divisors (3933196).

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

3864704 is a wasteful number, since it uses less digits than its factorization.

3864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3864704 is about 1965.8850424173. The cubic root of 3864704 is about 156.9297967331.

The spelling of 3864704 in words is "three million, eight hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 109 128 218 277 436 554 872 1108 1744 2216 3488 4432 6976 8864 13952 17728 30193 35456 60386 120772 241544 483088 966176 1932352 3864704