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14034300 = 22352741163
BaseRepresentation
bin110101100010…
…010101111100
3222102000102220
4311202111330
512043044200
61220445340
7230201220
oct65422574
928360386
1014034300
117a161a5
124849850
132ba4c27
141c14780
1513734a0
hexd6257c

14034300 has 144 divisors (see below), whose sum is σ = 47830272. Its totient is φ = 3110400.

The previous prime is 14034287. The next prime is 14034311. The reversal of 14034300 is 343041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14034300.

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 47 ways as a sum of consecutive naturals, for example, 86019 + ... + 86181.

Almost surely, 214034300 is an apocalyptic number.

14034300 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 14034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23915136).

14034300 is an abundant number, since it is smaller than the sum of its proper divisors (33795972).

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

14034300 is a wasteful number, since it uses less digits than its factorization.

14034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 14034300 is about 3746.2381130943. The cubic root of 14034300 is about 241.2108941778.

Adding to 14034300 its reverse (343041), we get a palindrome (14377341).

The spelling of 14034300 in words is "fourteen million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 163 164 175 205 210 246 287 300 326 350 410 420 489 492 525 574 615 652 700 815 820 861 978 1025 1050 1141 1148 1230 1435 1630 1722 1956 2050 2100 2282 2445 2460 2870 3075 3260 3423 3444 4075 4100 4305 4564 4890 5705 5740 6150 6683 6846 7175 8150 8610 9780 11410 12225 12300 13366 13692 14350 16300 17115 17220 20049 21525 22820 24450 26732 28525 28700 33415 34230 40098 43050 46781 48900 57050 66830 68460 80196 85575 86100 93562 100245 114100 133660 140343 167075 171150 187124 200490 233905 280686 334150 342300 400980 467810 501225 561372 668300 701715 935620 1002450 1169525 1403430 2004900 2339050 2806860 3508575 4678100 7017150 14034300