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14430400 = 265229311
BaseRepresentation
bin110111000011…
…000011000000
31000011010210021
4313003003000
512143233100
61233143224
7233441065
oct67030300
930133707
1014430400
118166856
1249bab14
132cb32ca
141cb8c6c
151400a1a
hexdc30c0

14430400 has 84 divisors (see below), whose sum is σ = 36850320. Its totient is φ = 5555200.

The previous prime is 14430391. The next prime is 14430419. The reversal of 14430400 is 403441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46245 + ... + 46555.

Almost surely, 214430400 is an apocalyptic number.

14430400 is a gapful number since it is divisible by the number (10) 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 14430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

14430400 is an abundant number, since it is smaller than the sum of its proper divisors (22419920).

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

14430400 is a wasteful number, since it uses less digits than its factorization.

14430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14430400 is about 3798.7366320923. The cubic root of 14430400 is about 243.4591622109.

Adding to 14430400 its reverse (403441), we get a palindrome (14833841).

The spelling of 14430400 in words is "fourteen million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 311 320 400 464 580 622 725 800 928 1160 1244 1450 1555 1600 1856 2320 2488 2900 3110 4640 4976 5800 6220 7775 9019 9280 9952 11600 12440 15550 18038 19904 23200 24880 31100 36076 45095 46400 49760 62200 72152 90190 99520 124400 144304 180380 225475 248800 288608 360760 450950 497600 577216 721520 901900 1443040 1803800 2886080 3607600 7215200 14430400