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14391104 = 267213353
BaseRepresentation
bin110110111001…
…011101000000
31000002010212212
4312321131000
512141003404
61232241252
7233215400
oct66713500
930063785
1014391104
11813a282
1249a0228
132c9b460
141ca8800
1513e406e
hexdb9740

14391104 has 84 divisors (see below), whose sum is σ = 35876484. Its totient is φ = 5677056.

The previous prime is 14391101. The next prime is 14391109. The reversal of 14391104 is 40119341.

14391104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 10549504 = 1960^2 + 3248^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14391104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14391101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40592 + ... + 40944.

It is an arithmetic number, because the mean of its divisors is an integer number (427101).

Almost surely, 214391104 is an apocalyptic number.

14391104 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 14391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938242).

14391104 is an abundant number, since it is smaller than the sum of its proper divisors (21485380).

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

14391104 is a wasteful number, since it uses less digits than its factorization.

14391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 14391104 is about 3793.5608601945. The cubic root of 14391104 is about 243.2379701795.

The spelling of 14391104 in words is "fourteen million, three hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 353 364 392 416 448 637 706 728 784 832 1274 1412 1456 1568 2471 2548 2824 2912 3136 4589 4942 5096 5648 5824 9178 9884 10192 11296 17297 18356 19768 20384 22592 32123 34594 36712 39536 40768 64246 69188 73424 79072 128492 138376 146848 158144 224861 256984 276752 293696 449722 513968 553504 899444 1027936 1107008 1798888 2055872 3597776 7195552 14391104