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14341248 = 273259211
BaseRepresentation
bin110110101101…
…010010000000
3222222121111100
4312231102000
512132404443
61231214400
7232620135
oct66552200
928877440
1014341248
118105879
124977400
132c8185c
141c9458c
1513d43d3
hexdad480

14341248 has 96 divisors (see below), whose sum is σ = 42166800. Its totient is φ = 4677120.

The previous prime is 14341247. The next prime is 14341273. The reversal of 14341248 is 84214341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14341247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67863 + ... + 68073.

Almost surely, 214341248 is an apocalyptic number.

14341248 is a gapful number since it is divisible by the number (18) 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 14341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083400).

14341248 is an abundant number, since it is smaller than the sum of its proper divisors (27825552).

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

14341248 is a wasteful number, since it uses less digits than its factorization.

14341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14341248 is about 3786.9840242599. The cubic root of 14341248 is about 242.9567570260.

Adding to 14341248 its reverse (84214341), we get a palindrome (98555589).

The spelling of 14341248 in words is "fourteen million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 211 236 288 354 384 422 472 531 576 633 708 844 944 1062 1152 1266 1416 1688 1888 1899 2124 2532 2832 3376 3776 3798 4248 5064 5664 6752 7552 7596 8496 10128 11328 12449 13504 15192 16992 20256 22656 24898 27008 30384 33984 37347 40512 49796 60768 67968 74694 81024 99592 112041 121536 149388 199184 224082 243072 298776 398368 448164 597552 796736 896328 1195104 1593472 1792656 2390208 3585312 4780416 7170624 14341248