Search a number
-
+
404134440 = 23353367787
BaseRepresentation
bin11000000101101…
…001101000101000
31001011110011020020
4120011221220220
51311424300230
6104034000440
713005041343
oct3005515050
91034404206
10404134440
1119813a206
12b3416120
136595b408
143b95d45a
152572d810
hex18169a28

404134440 has 32 divisors (see below), whose sum is σ = 1212403680. Its totient is φ = 107769152.

The previous prime is 404134429. The next prime is 404134453. The reversal of 404134440 is 44431404.

It is a super-2 number, since 2×4041344402 = 326649291188227200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 404134440.

It is an unprimeable number.

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, 1683774 + ... + 1684013.

It is an arithmetic number, because the mean of its divisors is an integer number (37887615).

Almost surely, 2404134440 is an apocalyptic number.

404134440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404134440 is an abundant number, since it is smaller than the sum of its proper divisors (808269240).

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

404134440 is a wasteful number, since it uses less digits than its factorization.

404134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367801 (or 3367797 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 404134440 is about 20103.0952840601. The cubic root of 404134440 is about 739.3361711760.

Adding to 404134440 its reverse (44431404), we get a palindrome (448565844).

The spelling of 404134440 in words is "four hundred four million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3367787 6735574 10103361 13471148 16838935 20206722 26942296 33677870 40413444 50516805 67355740 80826888 101033610 134711480 202067220 404134440