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3982368 = 253133191
BaseRepresentation
bin1111001100010000100000
321111022210010
433030100200
52004413433
6221204520
745564255
oct17142040
97438703
103982368
112280015
121400740
13a95840
1475942c
15539e63
hex3cc420

3982368 has 48 divisors (see below), whose sum is σ = 11261376. Its totient is φ = 1224960.

The previous prime is 3982351. The next prime is 3982373. The reversal of 3982368 is 8632893.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

Almost surely, 23982368 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 3982368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630688).

3982368 is an abundant number, since it is smaller than the sum of its proper divisors (7279008).

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

3982368 is a wasteful number, since it uses less digits than its factorization.

3982368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3209 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3982368 is about 1995.5871316482. The cubic root of 3982368 is about 158.5065195168.

The spelling of 3982368 in words is "three million, nine hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3191 6382 9573 12764 19146 25528 38292 41483 51056 76584 82966 102112 124449 153168 165932 248898 306336 331864 497796 663728 995592 1327456 1991184 3982368