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14324100 = 22352719359
BaseRepresentation
bin110110101001…
…000110000100
3222221201222020
4312221012010
512131332400
61231003140
7232516140
oct66510604
928851866
1014324100
1180a39aa
1249694b0
132c76acb
141c8c220
1513ce2a0
hexda9184

14324100 has 144 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3093120.

The previous prime is 14324099. The next prime is 14324113. The reversal of 14324100 is 142341.

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 14324100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39721 + ... + 40079.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 214324100 is an apocalyptic number.

14324100 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 14324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

14324100 is an abundant number, since it is smaller than the sum of its proper divisors (35672700).

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

14324100 is a wasteful number, since it uses less digits than its factorization.

14324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14324100 is about 3784.7192762476. The cubic root of 14324100 is about 242.8598829811.

Adding to 14324100 its reverse (142341), we get a palindrome (14466441).

The spelling of 14324100 in words is "fourteen million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 359 380 399 420 475 525 532 570 665 700 718 798 950 1050 1077 1140 1330 1425 1436 1596 1795 1900 1995 2100 2154 2513 2660 2850 3325 3590 3990 4308 5026 5385 5700 6650 6821 7180 7539 7980 8975 9975 10052 10770 12565 13300 13642 15078 17950 19950 20463 21540 25130 26925 27284 30156 34105 35900 37695 39900 40926 47747 50260 53850 62825 68210 75390 81852 95494 102315 107700 125650 136420 143241 150780 170525 188475 190988 204630 238735 251300 286482 341050 376950 409260 477470 511575 572964 682100 716205 753900 954940 1023150 1193675 1432410 2046300 2387350 2864820 3581025 4774700 7162050 14324100