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14430840 = 2335532269
BaseRepresentation
bin110111000011…
…001001111000
31000011011101120
4313003021320
512143241330
61233145240
7233442264
oct67031170
930134346
1014430840
118167116
1249bb220
132cb3578
141cb90a4
151400c10
hexdc3278

14430840 has 64 divisors (see below), whose sum is σ = 44128800. Its totient is φ = 3773952.

The previous prime is 14430827. The next prime is 14430847. The reversal of 14430840 is 4803441.

14430840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14430840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430847) 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, 5226 + ... + 7494.

Almost surely, 214430840 is an apocalyptic number.

14430840 is a gapful number since it is divisible by the number (10) 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 14430840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064400).

14430840 is an abundant number, since it is smaller than the sum of its proper divisors (29697960).

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

14430840 is a wasteful number, since it uses less digits than its factorization.

14430840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14430840 is about 3798.7945456421. The cubic root of 14430840 is about 243.4616366385.

The spelling of 14430840 in words is "fourteen million, four hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2269 3180 4538 6360 6807 9076 11345 13614 18152 22690 27228 34035 45380 54456 68070 90760 120257 136140 240514 272280 360771 481028 601285 721542 962056 1202570 1443084 1803855 2405140 2886168 3607710 4810280 7215420 14430840