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14309344 = 257127503
BaseRepresentation
bin110110100101…
…011111100000
3222220222201201
4312211133200
512130344334
61230410544
7232425130
oct66453740
928828651
1014309344
118093905
124960a54
132c7018a
141c86ac0
1513c9c14
hexda57e0

14309344 has 48 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 6072192.

The previous prime is 14309341. The next prime is 14309353. The reversal of 14309344 is 44390341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14309341) 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 7 ways as a sum of consecutive naturals, for example, 28197 + ... + 28699.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 214309344 is an apocalyptic number.

14309344 is a gapful number since it is divisible by the number (14) 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 14309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

14309344 is an abundant number, since it is smaller than the sum of its proper divisors (18204704).

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

14309344 is a wasteful number, since it uses less digits than its factorization.

14309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 14309344 is about 3782.7693559084. The cubic root of 14309344 is about 242.7764601319.

Adding to 14309344 its reverse (44390341), we get a palindrome (58699685).

The spelling of 14309344 in words is "fourteen million, three hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 503 508 889 1006 1016 1778 2012 2032 3521 3556 4024 4064 7042 7112 8048 14084 14224 16096 28168 28448 56336 63881 112672 127762 255524 447167 511048 894334 1022096 1788668 2044192 3577336 7154672 14309344