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1814424 = 2331923173
BaseRepresentation
bin110111010111110011000
310102011220220
412322332120
5431030144
6102520040
721264603
oct6727630
93364826
101814424
11102a227
12736020
134b6b31
1435333a
1525c919
hex1baf98

1814424 has 64 divisors (see below), whose sum is σ = 5011200. Its totient is φ = 544896.

The previous prime is 1814413. The next prime is 1814429. The reversal of 1814424 is 4244181.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 1814394 and 1814403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814429) 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 15 ways as a sum of consecutive naturals, for example, 10402 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (78300).

21814424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505600).

1814424 is an abundant number, since it is smaller than the sum of its proper divisors (3196776).

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

1814424 is a wasteful number, since it uses less digits than its factorization.

1814424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1814424 is about 1347.0055679172. The cubic root of 1814424 is about 121.9681005913.

The spelling of 1814424 in words is "one million, eight hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 173 184 228 276 346 437 456 519 552 692 874 1038 1311 1384 1748 2076 2622 3287 3496 3979 4152 5244 6574 7958 9861 10488 11937 13148 15916 19722 23874 26296 31832 39444 47748 75601 78888 95496 151202 226803 302404 453606 604808 907212 1814424