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3874832 = 241321433
BaseRepresentation
bin1110110010000000010000
321021212021022
432302000100
51442443312
6215015012
744635613
oct16620020
97255238
103874832
112207245
12136a468
13a58900
1472c17a
15518172
hex3b2010

3874832 has 30 divisors (see below), whose sum is σ = 8135082. Its totient is φ = 1787136.

The previous prime is 3874831. The next prime is 3874837. The reversal of 3874832 is 2384783.

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 3748096 = 356^2 + 1936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3874792 and 3874801.

It is not an unprimeable number, because it can be changed into a prime (3874831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1988 + ... + 3420.

Almost surely, 23874832 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 3874832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067541).

3874832 is an abundant number, since it is smaller than the sum of its proper divisors (4260250).

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

3874832 is a wasteful number, since it uses less digits than its factorization.

3874832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1448 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 3874832 is about 1968.4592959978. The cubic root of 3874832 is about 157.0667626859.

The spelling of 3874832 in words is "three million, eight hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1433 2704 2866 5732 11464 18629 22928 37258 74516 149032 242177 298064 484354 968708 1937416 3874832