Search a number
-
+
14378310 = 23556197
BaseRepresentation
bin110110110110…
…010101000110
31000001111100000
4312312111012
512140101220
61232102130
7233133162
oct66662506
930044300
1014378310
118130701
124994946
132c9569b
141ca3ca2
1513e0390
hexdb6546

14378310 has 96 divisors (see below), whose sum is σ = 39809952. Its totient is φ = 3732480.

The previous prime is 14378293. The next prime is 14378321. The reversal of 14378310 is 1387341.

It is a super-2 number, since 2×143783102 = 413471596912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 148182 + ... + 148278.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 214378310 is an apocalyptic number.

14378310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14378310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904976).

14378310 is an abundant number, since it is smaller than the sum of its proper divisors (25431642).

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

14378310 is an equidigital number, since it uses as much as digits as its factorization.

14378310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14378310 is about 3791.8742067743. The cubic root of 14378310 is about 243.1658675516.

The spelling of 14378310 in words is "fourteen million, three hundred seventy-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 97 122 135 162 183 194 243 270 291 305 366 405 485 486 549 582 610 810 873 915 970 1098 1215 1455 1647 1746 1830 2430 2619 2745 2910 3294 4365 4941 5238 5490 5917 7857 8235 8730 9882 11834 13095 14823 15714 16470 17751 23571 24705 26190 29585 29646 35502 39285 47142 49410 53253 59170 74115 78570 88755 106506 117855 148230 159759 177510 235710 266265 319518 479277 532530 798795 958554 1437831 1597590 2396385 2875662 4792770 7189155 14378310