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14339040 = 253529873
BaseRepresentation
bin110110101100…
…101111100000
3222222111110120
4312230233200
512132322130
61231200240
7232610532
oct66545740
928874416
1014339040
118104151
124976080
132c80851
141c93852
1513d3910
hexdacbe0

14339040 has 48 divisors (see below), whose sum is σ = 45169488. Its totient is φ = 3823616.

The previous prime is 14339029. The next prime is 14339063. The reversal of 14339040 is 4093341.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14339040.

It is a congruent number.

It is an unprimeable number.

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, 14457 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (941031).

Almost surely, 214339040 is an apocalyptic number.

14339040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14339040 is an abundant number, since it is smaller than the sum of its proper divisors (30830448).

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

14339040 is a wasteful number, since it uses less digits than its factorization.

14339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29891 (or 29883 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 14339040 is about 3786.6924881749. The cubic root of 14339040 is about 242.9442877241.

The spelling of 14339040 in words is "fourteen million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29873 59746 89619 119492 149365 179238 238984 298730 358476 448095 477968 597460 716952 896190 955936 1194920 1433904 1792380 2389840 2867808 3584760 4779680 7169520 14339040