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3956344 = 237314353
BaseRepresentation
bin1111000101111001111000
321110000002021
433011321320
52003100334
6220444224
745425350
oct17057170
97400067
103956344
112262507
1213a9674
13a86a42
1474db60
155323b4
hex3c5e78

3956344 has 64 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 1572480.

The previous prime is 3956327. The next prime is 3956347. The reversal of 3956344 is 4436593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74622 + ... + 74674.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

Almost surely, 23956344 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 3956344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

3956344 is an abundant number, since it is smaller than the sum of its proper divisors (5167496).

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

3956344 is a wasteful number, since it uses less digits than its factorization.

3956344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 3956344 is about 1989.0560575308. The cubic root of 3956344 is about 158.1604949297.

Subtracting 3956344 from its reverse (4436593), we obtain a square (480249 = 6932).

The spelling of 3956344 in words is "three million, nine hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 43 53 56 62 86 106 124 172 212 217 248 301 344 371 424 434 602 742 868 1204 1333 1484 1643 1736 2279 2408 2666 2968 3286 4558 5332 6572 9116 9331 10664 11501 13144 15953 18232 18662 23002 31906 37324 46004 63812 70649 74648 92008 127624 141298 282596 494543 565192 989086 1978172 3956344