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404011014 = 23112975737
BaseRepresentation
bin11000000101001…
…011100000000110
31001011012212220220
4120011023200012
51311411323024
6104031205210
713004015451
oct3005134006
91034185826
10404011014
11198065500
12b3376806
1365917194
143b92a498
1525706e79
hex1814b806

404011014 has 48 divisors (see below), whose sum is σ = 897469104. Its totient is φ = 121144320.

The previous prime is 404010989. The next prime is 404011021. The reversal of 404011014 is 410110404.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404010984 and 404011002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67554 + ... + 73290.

It is an arithmetic number, because the mean of its divisors is an integer number (18697273).

Almost surely, 2404011014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404011014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448734552).

404011014 is an abundant number, since it is smaller than the sum of its proper divisors (493458090).

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

404011014 is a wasteful number, since it uses less digits than its factorization.

404011014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 404011014 is about 20100.0252238648. The cubic root of 404011014 is about 739.2608970522.

Adding to 404011014 its reverse (410110404), we get a palindrome (814121418).

The spelling of 404011014 in words is "four hundred four million, eleven thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 97 121 194 242 291 363 582 726 1067 2134 3201 5737 6402 11474 11737 17211 23474 34422 35211 63107 70422 126214 189321 378642 556489 694177 1112978 1388354 1669467 2082531 3338934 4165062 6121379 12242758 18364137 36728274 67335169 134670338 202005507 404011014