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14383768 = 2371729521
BaseRepresentation
bin110110110111…
…101010011000
31000001202211011
4312313222120
512140240033
61232143304
7233155120
oct66675230
930052734
1014383768
118134813
124997b34
132c98009
141ca5c80
1513e1ccd
hexdb7a98

14383768 has 64 divisors (see below), whose sum is σ = 33825600. Its totient is φ = 5591040.

The previous prime is 14383753. The next prime is 14383769. The reversal of 14383768 is 86738341.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

Its product of digits (96768) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 14383768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14383769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27348 + ... + 27868.

It is an arithmetic number, because the mean of its divisors is an integer number (528525).

Almost surely, 214383768 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 14383768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912800).

14383768 is an abundant number, since it is smaller than the sum of its proper divisors (19441832).

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

14383768 is a wasteful number, since it uses less digits than its factorization.

14383768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 14383768 is about 3792.5938353586. The cubic root of 14383768 is about 243.1966322104.

It can be divided in two parts, 14383 and 768, that added together give a palindrome (15151).

The spelling of 14383768 in words is "fourteen million, three hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 521 812 952 986 1042 1624 1972 2084 3451 3647 3944 4168 6902 7294 8857 13804 14588 15109 17714 27608 29176 30218 35428 60436 61999 70856 105763 120872 123998 211526 247996 256853 423052 495992 513706 846104 1027412 1797971 2054824 3595942 7191884 14383768