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3116832 = 25332467
BaseRepresentation
bin1011111000111100100000
312212100111020
423320330200
51244214312
6150445440
735330655
oct13707440
95770436
103116832
1118397a4
121063880
138518a4
145b1c2c
1541878c
hex2f8f20

3116832 has 24 divisors (see below), whose sum is σ = 8181936. Its totient is φ = 1038912.

The previous prime is 3116819. The next prime is 3116837. The reversal of 3116832 is 2386113.

3116832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (3116837) 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 3 ways as a sum of consecutive naturals, for example, 16138 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (340914).

Almost surely, 23116832 is an apocalyptic number.

3116832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3116832 is an abundant number, since it is smaller than the sum of its proper divisors (5065104).

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

3116832 is a wasteful number, since it uses less digits than its factorization.

3116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32480 (or 32472 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3116832 is about 1765.4551820989. The cubic root of 3116832 is about 146.0733977606.

The spelling of 3116832 in words is "three million, one hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 32467 64934 97401 129868 194802 259736 389604 519472 779208 1038944 1558416 3116832