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3682998 = 2321121989
BaseRepresentation
bin1110000011001010110110
320221010010100
432003022312
51420323443
6210534530
743206414
oct16031266
96833110
103682998
112096100
121297446
139bc4b7
146bc2b4
154cb3d3
hex3832b6

3682998 has 72 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 1045440.

The previous prime is 3682961. The next prime is 3683011. The reversal of 3682998 is 8992863.

3682998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 41338 + ... + 41426.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

Almost surely, 23682998 is an apocalyptic number.

3682998 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3682998 is an abundant number, since it is smaller than the sum of its proper divisors (5653602).

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

3682998 is a wasteful number, since it uses less digits than its factorization.

3682998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3682998 is about 1919.1138580084. The cubic root of 3682998 is about 154.4307667307.

The spelling of 3682998 in words is "three million, six hundred eighty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 89 99 114 121 171 178 198 209 242 267 342 363 418 534 627 726 801 979 1089 1254 1602 1691 1881 1958 2178 2299 2937 3382 3762 4598 5073 5874 6897 8811 10146 10769 13794 15219 17622 18601 20691 21538 30438 32307 37202 41382 55803 64614 96921 111606 167409 193842 204611 334818 409222 613833 1227666 1841499 3682998