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14387274 = 2331153457
BaseRepresentation
bin110110111000…
…100001001010
31000001221122000
4312320201022
512140343044
61232211430
7233201256
oct66704112
930057560
1014387274
118137410
124999b76
132c997a5
141ca7266
1513e2d69
hexdb884a

14387274 has 64 divisors (see below), whose sum is σ = 35614080. Its totient is φ = 4268160.

The previous prime is 14387267. The next prime is 14387279. The reversal of 14387274 is 47278341.

It is a happy number.

14387274 is a `hidden beast` number, since 1 + 4 + 387 + 274 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14387279) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31254 + ... + 31710.

It is an arithmetic number, because the mean of its divisors is an integer number (556470).

Almost surely, 214387274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14387274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807040).

14387274 is an abundant number, since it is smaller than the sum of its proper divisors (21226806).

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

14387274 is a wasteful number, since it uses less digits than its factorization.

14387274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 14387274 is about 3793.0560238415. The cubic root of 14387274 is about 243.2163900867.

The spelling of 14387274 in words is "fourteen million, three hundred eighty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 457 477 583 594 914 954 1166 1371 1431 1749 2742 2862 3498 4113 5027 5247 8226 10054 10494 12339 15081 15741 24221 24678 30162 31482 45243 48442 72663 90486 135729 145326 217989 266431 271458 435978 532862 653967 799293 1307934 1598586 2397879 4795758 7193637 14387274