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3675906 = 2321323683
BaseRepresentation
bin1110000001011100000010
320220202101200
432001130002
51420112111
6210442030
743146633
oct16013402
96822350
103675906
112090843
121293316
139b91c0
146b988a
154c9256
hex381702

3675906 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 1080288.

The previous prime is 3675901. The next prime is 3675907. The reversal of 3675906 is 6095763.

It is a happy number.

3675906 is a `hidden beast` number, since 3 + 67 + 590 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041 + ... + 5723.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 23675906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

3675906 is an abundant number, since it is smaller than the sum of its proper divisors (5287230).

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

3675906 is a wasteful number, since it uses less digits than its factorization.

3675906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3675906 is about 1917.2652398664. The cubic root of 3675906 is about 154.3315788101.

The spelling of 3675906 in words is "three million, six hundred seventy-five thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 683 897 1366 1794 2049 2691 4098 5382 6147 8879 12294 15709 17758 26637 31418 47127 53274 79911 94254 141381 159822 204217 282762 408434 612651 1225302 1837953 3675906