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14358414 = 237192947
BaseRepresentation
bin110110110001…
…011110001110
31000000111001010
4312301132032
512133432124
61231430050
7233021160
oct66613616
930014033
1014358414
118117764
124985326
132c89605
141c9a930
1513d9529
hexdb178e

14358414 has 48 divisors (see below), whose sum is σ = 34674048. Its totient is φ = 3882384.

The previous prime is 14358397. The next prime is 14358457. The reversal of 14358414 is 41485341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14689 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (722376).

Almost surely, 214358414 is an apocalyptic number.

14358414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14358414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337024).

14358414 is an abundant number, since it is smaller than the sum of its proper divisors (20315634).

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

14358414 is a wasteful number, since it uses less digits than its factorization.

14358414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 14358414 is about 3789.2497938246. The cubic root of 14358414 is about 243.0536554450.

The spelling of 14358414 in words is "fourteen million, three hundred fifty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 947 1083 1894 2166 2527 2841 5054 5682 6629 7581 13258 15162 17993 19887 35986 39774 53979 107958 125951 251902 341867 377853 683734 755706 1025601 2051202 2393069 4786138 7179207 14358414