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404313144 = 23316846381
BaseRepresentation
bin11000000110010…
…101010000111000
31001011210020100220
4120012111100320
51312001010034
6104041500040
713006414344
oct3006252070
91034706326
10404313144
111982514a4
12b34a1620
13659c1861
143b9a8624
1525766749
hex18195438

404313144 has 16 divisors (see below), whose sum is σ = 1010782920. Its totient is φ = 134771040.

The previous prime is 404313043. The next prime is 404313163. The reversal of 404313144 is 441313404.

It is a super-2 number, since 2×4043131442 = 326938236822329472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 16846381 = 404313144 / (4 + 0 + 4 + 3 + 1 + 3 + 1 + 4 + 4).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 8423167 + ... + 8423214.

Almost surely, 2404313144 is an apocalyptic number.

It is an amenable number.

404313144 is an abundant number, since it is smaller than the sum of its proper divisors (606469776).

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

404313144 is a wasteful number, since it uses less digits than its factorization.

404313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16846390 (or 16846386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 404313144 is about 20107.5394814980. The cubic root of 404313144 is about 739.4451306777.

Adding to 404313144 its reverse (441313404), we get a palindrome (845626548).

The spelling of 404313144 in words is "four hundred four million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 16846381 33692762 50539143 67385524 101078286 134771048 202156572 404313144