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14054352 = 24313101223
BaseRepresentation
bin110101100111…
…001111010000
3222110000221120
4311213033100
512044214402
61221122240
7230313534
oct65471720
928400846
1014054352
117a2a274
124859380
132bb10b0
141c1bbc4
1513793bc
hexd673d0

14054352 has 80 divisors (see below), whose sum is σ = 39664128. Its totient is φ = 4262400.

The previous prime is 14054329. The next prime is 14054387. The reversal of 14054352 is 25345041.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62913 + ... + 63135.

Almost surely, 214054352 is an apocalyptic number.

14054352 is a gapful number since it is divisible by the number (12) 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 14054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832064).

14054352 is an abundant number, since it is smaller than the sum of its proper divisors (25609776).

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

14054352 is a wasteful number, since it uses less digits than its factorization.

14054352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 14054352 is about 3748.9134425857. The cubic root of 14054352 is about 241.3257190262.

Adding to 14054352 its reverse (25345041), we get a palindrome (39399393).

The spelling of 14054352 in words is "fourteen million, fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 223 303 312 404 446 606 624 669 808 892 1212 1313 1338 1616 1784 2424 2626 2676 2899 3568 3939 4848 5252 5352 5798 7878 8697 10504 10704 11596 15756 17394 21008 22523 23192 31512 34788 45046 46384 63024 67569 69576 90092 135138 139152 180184 270276 292799 360368 540552 585598 878397 1081104 1171196 1756794 2342392 3513588 4684784 7027176 14054352