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14329296 = 2432151659
BaseRepresentation
bin110110101010…
…010111010000
3222222000002200
4312222113100
512132014141
61231043200
7232540242
oct66522720
928860080
1014329296
1180a78a3
124970500
132c79297
141c90092
1513d0ab6
hexdaa5d0

14329296 has 60 divisors (see below), whose sum is σ = 40428960. Its totient is φ = 4737600.

The previous prime is 14329279. The next prime is 14329297. The reversal of 14329296 is 69292341.

14329296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 14329296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14329297) 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, 21415 + ... + 22073.

It is an arithmetic number, because the mean of its divisors is an integer number (673816).

Almost surely, 214329296 is an apocalyptic number.

14329296 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 14329296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214480).

14329296 is an abundant number, since it is smaller than the sum of its proper divisors (26099664).

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

14329296 is a wasteful number, since it uses less digits than its factorization.

14329296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 14329296 is about 3785.4056585787. The cubic root of 14329296 is about 242.8892448584.

The spelling of 14329296 in words is "fourteen million, three hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 659 906 1208 1318 1359 1812 1977 2416 2636 2718 3624 3954 5272 5436 5931 7248 7908 10544 10872 11862 15816 21744 23724 31632 47448 94896 99509 199018 298527 398036 597054 796072 895581 1194108 1592144 1791162 2388216 3582324 4776432 7164648 14329296