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14401744 = 247149863
BaseRepresentation
bin110110111100…
…000011010000
31000002200110221
4312330003100
512141323434
61232402424
7233261410
oct66740320
930080427
1014401744
118147275
1249a6414
132ca3256
141cac640
1513e72b4
hexdbc0d0

14401744 has 40 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 6123648.

The previous prime is 14401741. The next prime is 14401759. The reversal of 14401744 is 44710441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401741) 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 7 ways as a sum of consecutive naturals, for example, 16257 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 214401744 is an apocalyptic number.

14401744 is a gapful number since it is divisible by the number (14) 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 14401744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

14401744 is an abundant number, since it is smaller than the sum of its proper divisors (17739056).

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

14401744 is a wasteful number, since it uses less digits than its factorization.

14401744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 14401744 is about 3794.9629774215. The cubic root of 14401744 is about 243.2979010563.

The spelling of 14401744 in words is "fourteen million, four hundred one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 863 1043 1192 1726 2086 2384 3452 4172 6041 6904 8344 12082 13808 16688 24164 48328 96656 128587 257174 514348 900109 1028696 1800218 2057392 3600436 7200872 14401744