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3862368 = 253213411
BaseRepresentation
bin1110101110111101100000
321021020011200
432232331200
51442043433
6214441200
744554356
oct16567540
97236150
103862368
1121a8944
121363200
13a53033
147277d6
15514613
hex3aef60

3862368 has 36 divisors (see below), whose sum is σ = 10984428. Its totient is φ = 1287360.

The previous prime is 3862363. The next prime is 3862373. The reversal of 3862368 is 8632683.

It is an interprime number because it is at equal distance from previous prime (3862363) and next prime (3862373).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6418 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (305123).

Almost surely, 23862368 is an apocalyptic number.

It is an amenable number.

3862368 is an abundant number, since it is smaller than the sum of its proper divisors (7122060).

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

3862368 is a wasteful number, since it uses less digits than its factorization.

3862368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13416 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3862368 is about 1965.2908181742. The cubic root of 3862368 is about 156.8981718971.

The spelling of 3862368 in words is "three million, eight hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13411 26822 40233 53644 80466 107288 120699 160932 214576 241398 321864 429152 482796 643728 965592 1287456 1931184 3862368