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3974096 = 247237137
BaseRepresentation
bin1111001010001111010000
321110220102202
433022033100
52004132341
6221102332
745531200
oct17121720
97426382
103974096
112274885
1213b79a8
13a91b49
14756400
1553779b
hex3ca3d0

3974096 has 60 divisors (see below), whose sum is σ = 9266148. Its totient is φ = 1645056.

The previous prime is 3974093. The next prime is 3974129. The reversal of 3974096 is 6904793.

3974096 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 960400 = 1736^2 + 980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974093) 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 11 ways as a sum of consecutive naturals, for example, 28940 + ... + 29076.

Almost surely, 23974096 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 3974096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633074).

3974096 is an abundant number, since it is smaller than the sum of its proper divisors (5292052).

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

3974096 is a wasteful number, since it uses less digits than its factorization.

3974096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 3974096 is about 1993.5134812687. The cubic root of 3974096 is about 158.3966958465.

The spelling of 3974096 in words is "three million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 137 148 196 259 274 296 392 518 548 592 784 959 1036 1096 1813 1918 2072 2192 3626 3836 4144 5069 6713 7252 7672 10138 13426 14504 15344 20276 26852 29008 35483 40552 53704 70966 81104 107408 141932 248381 283864 496762 567728 993524 1987048 3974096