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1814004 = 2232411229
BaseRepresentation
bin110111010110111110100
310102011100100
412322313310
5431022004
6102514100
721263433
oct6726764
93364310
101814004
111029985
12735930
134b689a
1435311a
1525c739
hex1badf4

1814004 has 36 divisors (see below), whose sum is σ = 4701060. Its totient is φ = 589440.

The previous prime is 1814003. The next prime is 1814011. The reversal of 1814004 is 4004181.

1814004 = T59 + T60 + ... + T222.

It can be written as a sum of positive squares in 2 ways, for example, as 1004004 + 810000 = 1002^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×18140042 = 6581221024032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (130585).

21814004 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 1814004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350530).

1814004 is an abundant number, since it is smaller than the sum of its proper divisors (2887056).

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

1814004 is a wasteful number, since it uses less digits than its factorization.

1814004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1814004 is about 1346.8496575342. The cubic root of 1814004 is about 121.9586888706.

Adding to 1814004 its reverse (4004181), we get a palindrome (5818185).

The spelling of 1814004 in words is "one million, eight hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1229 1476 2458 3687 4916 7374 11061 14748 22122 44244 50389 100778 151167 201556 302334 453501 604668 907002 1814004