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14294016 = 210331147
BaseRepresentation
bin110110100001…
…110000000000
3222220012201000
4312201300000
512124402031
61230212000
7232332342
oct66416000
928805630
1014294016
118083340
124954000
132c661c9
141c81292
1513c53e6
hexda1c00

14294016 has 176 divisors, whose sum is σ = 47162880. Its totient is φ = 4239360.

The previous prime is 14294009. The next prime is 14294041. The reversal of 14294016 is 61049241.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304105 + ... + 304151.

Almost surely, 214294016 is an apocalyptic number.

14294016 is a gapful number since it is divisible by the number (16) 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 14294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23581440).

14294016 is an abundant number, since it is smaller than the sum of its proper divisors (32868864).

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

14294016 is a wasteful number, since it uses less digits than its factorization.

14294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14294016 is about 3780.7427841629. The cubic root of 14294016 is about 242.6897427370.

It can be divided in two parts, 1429 and 4016, that added together give a palindrome (5445).

The spelling of 14294016 in words is "fourteen million, two hundred ninety-four thousand, sixteen".