Search a number
-
+
14297328 = 2432432309
BaseRepresentation
bin110110100010…
…100011110000
3222220101020200
4312202203300
512130003303
61230235200
7232345113
oct66424360
928811220
1014297328
118085881
124955b00
132c67876
141c8257a
1513c63a3
hexda28f0

14297328 has 60 divisors (see below), whose sum is σ = 40960920. Its totient is φ = 4652928.

The previous prime is 14297299. The next prime is 14297347. The reversal of 14297328 is 82379241.

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

It is a junction number, because it is equal to n+sod(n) for n = 14297292 and 14297301.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5038 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 214297328 is an apocalyptic number.

14297328 is a gapful number since it is divisible by the number (18) 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 14297328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480460).

14297328 is an abundant number, since it is smaller than the sum of its proper divisors (26663592).

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

14297328 is a wasteful number, since it uses less digits than its factorization.

14297328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2357 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14297328 is about 3781.1807679612. The cubic root of 14297328 is about 242.7084854602.

It can be divided in two parts, 1 and 4297328, that added together give a square (4297329 = 20732).

The spelling of 14297328 in words is "fourteen million, two hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 2309 3096 4618 6192 6927 9236 13854 18472 20781 27708 36944 41562 55416 83124 99287 110832 166248 198574 297861 332496 397148 595722 794296 893583 1191444 1588592 1787166 2382888 3574332 4765776 7148664 14297328