Search a number
-
+
14378328 = 2332172691
BaseRepresentation
bin110110110110…
…010101011000
31000001111100200
4312312111120
512140101303
61232102200
7233133216
oct66662530
930044320
1014378328
118130718
124994960
132c956b3
141ca3cb6
1513e03a3
hexdb6558

14378328 has 72 divisors (see below), whose sum is σ = 41426580. Its totient is φ = 4504320.

The previous prime is 14378321. The next prime is 14378333. The reversal of 14378328 is 82387341.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14378292 and 14378301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14378321) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 20463 + ... + 21153.

Almost surely, 214378328 is an apocalyptic number.

14378328 is a gapful number since it is divisible by the number (18) 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 14378328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713290).

14378328 is an abundant number, since it is smaller than the sum of its proper divisors (27048252).

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

14378328 is a wasteful number, since it uses less digits than its factorization.

14378328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 14378328 is about 3791.8765802700. The cubic root of 14378328 is about 243.1659690235.

It can be divided in two parts, 14378 and 328, that added together give a triangular number (14706 = T171).

The spelling of 14378328 in words is "fourteen million, three hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 691 867 1156 1224 1382 1734 2073 2312 2601 2764 3468 4146 5202 5528 6219 6936 8292 10404 11747 12438 16584 20808 23494 24876 35241 46988 49752 70482 93976 105723 140964 199699 211446 281928 399398 422892 599097 798796 845784 1198194 1597592 1797291 2396388 3594582 4792776 7189164 14378328