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3930876 = 2233172141
BaseRepresentation
bin1110111111101011111100
321101201011000
432333223330
52001242001
6220130300
745261165
oct16775374
97351130
103930876
112245364
121396990
13a78281
1474476c
15529a86
hex3bfafc

3930876 has 48 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1232640.

The previous prime is 3930869. The next prime is 3930887. The reversal of 3930876 is 6780393.

It is a super-2 number, since 2×39308762 = 30903572254752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3930876.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 23930876 is an apocalyptic number.

3930876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3930876 is an abundant number, since it is smaller than the sum of its proper divisors (6864804).

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

3930876 is a wasteful number, since it uses less digits than its factorization.

3930876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3930876 is about 1982.6436896225. The cubic root of 3930876 is about 157.8203908939.

The spelling of 3930876 in words is "three million, nine hundred thirty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2141 4282 6423 8564 12846 19269 25692 36397 38538 57807 72794 77076 109191 115614 145588 218382 231228 327573 436764 655146 982719 1310292 1965438 3930876