Search a number
-
+
404033424 = 24317495139
BaseRepresentation
bin11000000101010…
…000111110010000
31001011021000122220
4120011100332100
51311413032144
6104031501040
713004141004
oct3005207620
91034230586
10404033424
11198080323
12b3387780
1365924442
143b934704
152570d919
hex18150f90

404033424 has 40 divisors (see below), whose sum is σ = 1105152480. Its totient is φ = 126755328.

The previous prime is 404033411. The next prime is 404033429. The reversal of 404033424 is 424330404.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 404033394 and 404033403.

It is not an unprimeable number, because it can be changed into a prime (404033429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246754 + ... + 248385.

It is an arithmetic number, because the mean of its divisors is an integer number (27628812).

Almost surely, 2404033424 is an apocalyptic number.

It is an amenable number.

404033424 is an abundant number, since it is smaller than the sum of its proper divisors (701119056).

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

404033424 is a wasteful number, since it uses less digits than its factorization.

404033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495167 (or 495161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 404033424 is about 20100.5826781215. The cubic root of 404033424 is about 739.2745654340.

Adding to 404033424 its reverse (424330404), we get a palindrome (828363828).

The spelling of 404033424 in words is "four hundred four million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 495139 990278 1485417 1980556 2970834 3961112 5941668 7922224 8417363 11883336 16834726 23766672 25252089 33669452 50504178 67338904 101008356 134677808 202016712 404033424