Search a number
-
+
1838424 = 233731353
BaseRepresentation
bin111000000110101011000
310110101211210
413000311120
5432312144
6103223120
721424560
oct7006530
93411753
101838424
111046265
12747aa0
134c4a33
1435bda0
15264ab9
hex1c0d58

1838424 has 64 divisors (see below), whose sum is σ = 5437440. Its totient is φ = 506880.

The previous prime is 1838423. The next prime is 1838429. The reversal of 1838424 is 4248381.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1838391 and 1838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5032 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (84960).

21838424 is an apocalyptic number.

1838424 is a gapful number since it is divisible by the number (14) 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 1838424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718720).

1838424 is an abundant number, since it is smaller than the sum of its proper divisors (3599016).

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

1838424 is a wasteful number, since it uses less digits than its factorization.

1838424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 1838424 is about 1355.8849508716. The cubic root of 1838424 is about 122.5035178776.

The spelling of 1838424 in words is "one million, eight hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 353 372 434 651 706 744 868 1059 1302 1412 1736 2118 2471 2604 2824 4236 4942 5208 7413 8472 9884 10943 14826 19768 21886 29652 32829 43772 59304 65658 76601 87544 131316 153202 229803 262632 306404 459606 612808 919212 1838424