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14046384 = 2431137719
BaseRepresentation
bin110101100101…
…010010110000
3222102122000110
4311211102300
512043441014
61221021320
7230251362
oct65452260
928378013
1014046384
117a24290
124854840
132baa591
141c18d32
151376d59
hexd654b0

14046384 has 80 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 4135680.

The previous prime is 14046359. The next prime is 14046397. The reversal of 14046384 is 48364041.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19177 + ... + 19895.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 214046384 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 14046384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

14046384 is an abundant number, since it is smaller than the sum of its proper divisors (26665296).

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

14046384 is a wasteful number, since it uses less digits than its factorization.

14046384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14046384 is about 3747.8505840014. The cubic root of 14046384 is about 241.2801045235.

The spelling of 14046384 in words is "fourteen million, forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 719 814 888 1221 1438 1628 1776 2157 2442 2876 3256 4314 4884 5752 6512 7909 8628 9768 11504 15818 17256 19536 23727 26603 31636 34512 47454 53206 63272 79809 94908 106412 126544 159618 189816 212824 292633 319236 379632 425648 585266 638472 877899 1170532 1276944 1755798 2341064 3511596 4682128 7023192 14046384