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3801344 = 2831479
BaseRepresentation
bin1110100000000100000000
321011010110112
432200010000
51433120334
6213250452
744211431
oct16400400
97133415
103801344
112167008
121333a28
13a31321
1470d488
155014ce
hex3a0100

3801344 has 36 divisors (see below), whose sum is σ = 7848960. Its totient is φ = 1835520.

The previous prime is 3801341. The next prime is 3801359. The reversal of 3801344 is 4431083.

It is not an unprimeable number, because it can be changed into a prime (3801341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7697 + ... + 8175.

Almost surely, 23801344 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 3801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480).

3801344 is an abundant number, since it is smaller than the sum of its proper divisors (4047616).

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

3801344 is an equidigital number, since it uses as much as digits as its factorization.

3801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3801344 is about 1949.7035672122. The cubic root of 3801344 is about 156.0674702669.

The spelling of 3801344 in words is "three million, eight hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 479 496 958 992 1916 1984 3832 3968 7664 7936 14849 15328 29698 30656 59396 61312 118792 122624 237584 475168 950336 1900672 3801344