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438030 = 232531157
BaseRepresentation
bin1101010111100001110
3211020212100
41222330032
5103004110
613215530
73503025
oct1527416
9736770
10438030
1127a10a
121915a6
131244b8
14b58bc
1589bc0
hex6af0e

438030 has 48 divisors (see below), whose sum is σ = 1183104. Its totient is φ = 112320.

The previous prime is 438029. The next prime is 438047. The reversal of 438030 is 30834.

438030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 437994 and 438012.

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, 2712 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (24648).

2438030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591552).

438030 is an abundant number, since it is smaller than the sum of its proper divisors (745074).

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

438030 is a wasteful number, since it uses less digits than its factorization.

438030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 438030 is about 661.8383488436. The cubic root of 438030 is about 75.9453670151.

Adding to 438030 its reverse (30834), we get a palindrome (468864).

The spelling of 438030 in words is "four hundred thirty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 157 186 279 310 314 465 471 558 785 930 942 1395 1413 1570 2355 2790 2826 4710 4867 7065 9734 14130 14601 24335 29202 43803 48670 73005 87606 146010 219015 438030