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3680946 = 2321947229
BaseRepresentation
bin1110000010101010110010
320221000022100
432002222302
51420242241
6210521230
743200423
oct16025262
96830270
103680946
112094605
121296216
139bb599
146bb64a
154ca9b6
hex382ab2

3680946 has 48 divisors (see below), whose sum is σ = 8611200. Its totient is φ = 1132704.

The previous prime is 3680917. The next prime is 3680947. The reversal of 3680946 is 6490863.

It is a d-powerful number, because it can be written as 310 + 68 + 83 + 0 + 9 + 49 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3680946.

It is not an unprimeable number, because it can be changed into a prime (3680947) 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, 15960 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (179400).

Almost surely, 23680946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305600).

3680946 is an abundant number, since it is smaller than the sum of its proper divisors (4930254).

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

3680946 is a wasteful number, since it uses less digits than its factorization.

3680946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3680946 is about 1918.5791617757. The cubic root of 3680946 is about 154.4020807884.

The spelling of 3680946 in words is "three million, six hundred eighty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 229 282 342 423 458 687 846 893 1374 1786 2061 2679 4122 4351 5358 8037 8702 10763 13053 16074 21526 26106 32289 39159 64578 78318 96867 193734 204497 408994 613491 1226982 1840473 3680946