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14338816 = 2879709
BaseRepresentation
bin110110101100…
…101100000000
3222222111011021
4312230230000
512132320231
61231155224
7232610062
oct66545400
928874137
1014338816
118103a68
124975b14
132c8070b
141c93732
1513d3811
hexdacb00

14338816 has 36 divisors (see below), whose sum is σ = 29024800. Its totient is φ = 7068672.

The previous prime is 14338811. The next prime is 14338897. The reversal of 14338816 is 61883341.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14338811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19870 + ... + 20578.

Almost surely, 214338816 is an apocalyptic number.

14338816 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 14338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512400).

14338816 is an abundant number, since it is smaller than the sum of its proper divisors (14685984).

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

14338816 is an frugal number, since it uses more digits than its factorization.

14338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 14338816 is about 3786.6629107963. The cubic root of 14338816 is about 242.9430226509.

The spelling of 14338816 in words is "fourteen million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 709 1264 1418 2528 2836 5056 5672 10112 11344 20224 22688 45376 56011 90752 112022 181504 224044 448088 896176 1792352 3584704 7169408 14338816