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14416368 = 2431571913
BaseRepresentation
bin110110111111…
…100111110000
31000010102112120
4312333213300
512142310433
61232554240
7233352141
oct66774760
930112476
1014416368
11815725a
1249b2980
132ca9ac5
141cb3ac8
1513eb7b3
hexdbf9f0

14416368 has 40 divisors (see below), whose sum is σ = 37499088. Its totient is φ = 4772352.

The previous prime is 14416361. The next prime is 14416399. The reversal of 14416368 is 86361441.

It is a super-3 number, since 3×144163683 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14416361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6580 + ... + 8492.

Almost surely, 214416368 is an apocalyptic number.

It is an amenable number.

14416368 is an abundant number, since it is smaller than the sum of its proper divisors (23082720).

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

14416368 is a wasteful number, since it uses less digits than its factorization.

14416368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 14416368 is about 3796.8892530597. The cubic root of 14416368 is about 243.3802240696.

The spelling of 14416368 in words is "fourteen million, four hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 1913 2512 3768 3826 5739 7536 7652 11478 15304 22956 30608 45912 91824 300341 600682 901023 1201364 1802046 2402728 3604092 4805456 7208184 14416368