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3974040 = 2332571983
BaseRepresentation
bin1111001010001110011000
321110220100200
433022032120
52004132130
6221102200
745531060
oct17121630
97426320
103974040
112274834
1213b7960
13a91b05
147563a0
15537760
hex3ca398

3974040 has 192 divisors, whose sum is σ = 15724800. Its totient is φ = 850176.

The previous prime is 3974027. The next prime is 3974041. The reversal of 3974040 is 404793.

3974040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3973995 and 3974013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974041) 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 47 ways as a sum of consecutive naturals, for example, 47839 + ... + 47921.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 23974040 is an apocalyptic number.

3974040 is a gapful number since it is divisible by the number (30) 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 3974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

3974040 is an abundant number, since it is smaller than the sum of its proper divisors (11750760).

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

3974040 is a wasteful number, since it uses less digits than its factorization.

3974040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3974040 is about 1993.4994356658. The cubic root of 3974040 is about 158.3959518402.

The spelling of 3974040 in words is "three million, nine hundred seventy-four thousand, forty".