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3684648 = 2331117821
BaseRepresentation
bin1110000011100100101000
320221012101110
432003210220
51420402043
6210550320
743214262
oct16034450
96835343
103684648
112097370
1212983a0
139c0186
146bcb32
154cbb33
hex383928

3684648 has 64 divisors (see below), whose sum is σ = 10653120. Its totient is φ = 1049600.

The previous prime is 3684647. The next prime is 3684671. The reversal of 3684648 is 8464863.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3684641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (166455).

Almost surely, 23684648 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 3684648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326560).

3684648 is an abundant number, since it is smaller than the sum of its proper divisors (6968472).

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

3684648 is a wasteful number, since it uses less digits than its factorization.

3684648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3684648 is about 1919.5436957777. The cubic root of 3684648 is about 154.4538251850.

The spelling of 3684648 in words is "three million, six hundred eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 821 1122 1496 1642 2244 2463 3284 4488 4926 6568 9031 9852 13957 18062 19704 27093 27914 36124 41871 54186 55828 72248 83742 108372 111656 153527 167484 216744 307054 334968 460581 614108 921162 1228216 1842324 3684648