Search a number
-
+
404442104 = 231117409661
BaseRepresentation
bin11000000110110…
…100101111111000
31001012000210021012
4120012310233320
51312014121404
6104044333052
713010462333
oct3006645770
91035023235
10404442104
1119832a380
12b3544188
1365a38471
143b9dd61a
152578ea6e
hex181b4bf8

404442104 has 64 divisors (see below), whose sum is σ = 879400800. Its totient is φ = 172339200.

The previous prime is 404442013. The next prime is 404442187. The reversal of 404442104 is 401244404.

It is a self number, because there is not a number n which added to its sum of digits gives 404442104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611534 + ... + 612194.

Almost surely, 2404442104 is an apocalyptic number.

404442104 is a gapful number since it is divisible by the number (44) 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 404442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439700400).

404442104 is an abundant number, since it is smaller than the sum of its proper divisors (474958696).

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

404442104 is a wasteful number, since it uses less digits than its factorization.

404442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 404442104 is about 20110.7459831802. The cubic root of 404442104 is about 739.5237402972.

Adding to 404442104 its reverse (401244404), we get a palindrome (805686508).

The spelling of 404442104 in words is "four hundred four million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 409 661 748 818 1322 1496 1636 2644 3272 4499 5288 6953 7271 8998 11237 13906 14542 17996 22474 27812 29084 35992 44948 55624 58168 76483 89896 123607 152966 247214 270349 305932 494428 540698 611864 988856 1081396 2162792 2973839 4595933 5947678 9191866 11895356 18383732 23790712 36767464 50555263 101110526 202221052 404442104