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3684978 = 2321137503
BaseRepresentation
bin1110000011101001110010
320221012211200
432003221302
51420404403
6210552030
743215243
oct16035162
96835750
103684978
112097640
121298616
139c037b
146bccca
154cbca3
hex383a72

3684978 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 1084320.

The previous prime is 3684977. The next prime is 3685007. The reversal of 3684978 is 8794863.

It is a happy number.

3684978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3684977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7075 + ... + 7577.

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

Almost surely, 23684978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

3684978 is an abundant number, since it is smaller than the sum of its proper divisors (5278158).

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

3684978 is a wasteful number, since it uses less digits than its factorization.

3684978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 556 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3684978 is about 1919.6296517818. The cubic root of 3684978 is about 154.4584360497.

The spelling of 3684978 in words is "three million, six hundred eighty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 503 666 814 1006 1221 1509 2442 3018 3663 4527 5533 7326 9054 11066 16599 18611 33198 37222 49797 55833 99594 111666 167499 204721 334998 409442 614163 1228326 1842489 3684978