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14339360 = 255723159
BaseRepresentation
bin110110101100…
…110100100000
3222222111220102
4312230310200
512132324420
61231201532
7232611500
oct66546440
928874812
1014339360
118104412
1249762a8
132c80a39
141c93a00
1513d3a75
hexdacd20

14339360 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4677120.

The previous prime is 14339341. The next prime is 14339383. The reversal of 14339360 is 6393341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243011 + ... + 243069.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 214339360 is an apocalyptic number.

14339360 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 14339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14339360 is an abundant number, since it is smaller than the sum of its proper divisors (27028960).

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

14339360 is a wasteful number, since it uses less digits than its factorization.

14339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 14339360 is about 3786.7347411721. The cubic root of 14339360 is about 242.9460949486.

The spelling of 14339360 in words is "fourteen million, three hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 59 62 70 80 98 112 118 124 140 155 160 196 217 224 236 245 248 280 295 310 392 413 434 472 490 496 560 590 620 784 826 868 944 980 992 1085 1120 1180 1240 1519 1568 1652 1736 1829 1888 1960 2065 2170 2360 2480 2891 3038 3304 3472 3658 3920 4130 4340 4720 4960 5782 6076 6608 6944 7316 7595 7840 8260 8680 9145 9440 11564 12152 12803 13216 14455 14632 15190 16520 17360 18290 23128 24304 25606 28910 29264 30380 33040 34720 36580 46256 48608 51212 57820 58528 60760 64015 66080 73160 89621 92512 102424 115640 121520 128030 146320 179242 204848 231280 243040 256060 292640 358484 409696 448105 462560 512120 716968 896210 1024240 1433936 1792420 2048480 2867872 3584840 7169680 14339360