Search a number
-
+
14323320 = 23325113617
BaseRepresentation
bin110110101000…
…111001111000
3222221200220100
4312220321320
512131321240
61230555400
7232513644
oct66507170
928850810
1014323320
1180a3360
124968b60
132c7664b
141c8bc24
1513cde30
hexda8e78

14323320 has 96 divisors (see below), whose sum is σ = 50796720. Its totient is φ = 3471360.

The previous prime is 14323307. The next prime is 14323373. The reversal of 14323320 is 2332341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14323293 and 14323302.

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 23 ways as a sum of consecutive naturals, for example, 2152 + ... + 5768.

Almost surely, 214323320 is an apocalyptic number.

14323320 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 14323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398360).

14323320 is an abundant number, since it is smaller than the sum of its proper divisors (36473400).

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

14323320 is a wasteful number, since it uses less digits than its factorization.

14323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 14323320 is about 3784.6162288930. The cubic root of 14323320 is about 242.8554746961.

Adding to 14323320 its reverse (2332341), we get a palindrome (16655661).

The spelling of 14323320 in words is "fourteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3617 3960 7234 10851 14468 18085 21702 28936 32553 36170 39787 43404 54255 65106 72340 79574 86808 108510 119361 130212 144680 159148 162765 198935 217020 238722 260424 318296 325530 358083 397870 434040 477444 596805 651060 716166 795740 954888 1193610 1302120 1432332 1591480 1790415 2387220 2864664 3580830 4774440 7161660 14323320