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404003240 = 23555718133
BaseRepresentation
bin11000000101001…
…001100110101000
31001011012111020222
4120011021212220
51311411100430
6104031105212
713003654004
oct3005114650
91034174228
10404003240
1119805a683
12b3372208
1365913794
143b927704
15257049e5
hex181499a8

404003240 has 32 divisors (see below), whose sum is σ = 910689480. Its totient is φ = 161302272.

The previous prime is 404003231. The next prime is 404003261. The reversal of 404003240 is 42300404.

It can be written as a sum of positive squares in 4 ways, for example, as 216148804 + 187854436 = 14702^2 + 13706^2 .

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, 13214 + ... + 31346.

Almost surely, 2404003240 is an apocalyptic number.

404003240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404003240 is an abundant number, since it is smaller than the sum of its proper divisors (506686240).

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

404003240 is a wasteful number, since it uses less digits than its factorization.

404003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 404003240 is about 20099.8318400926. The cubic root of 404003240 is about 739.2561553901.

Adding to 404003240 its reverse (42300404), we get a palindrome (446303644).

The spelling of 404003240 in words is "four hundred four million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 557 1114 2228 2785 4456 5570 11140 18133 22280 36266 72532 90665 145064 181330 362660 725320 10100081 20200162 40400324 50500405 80800648 101000810 202001620 404003240