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404330040 = 233251766067
BaseRepresentation
bin11000000110011…
…001011000111000
31001011211002112200
4120012121120320
51312002030130
6104042110200
713006514532
oct3006313070
91034732480
10404330040
11198263164
12b34ab360
13659c945a
143b9b0852
152576b760
hex18199638

404330040 has 96 divisors (see below), whose sum is σ = 1391392080. Its totient is φ = 101477376.

The previous prime is 404330039. The next prime is 404330063. The reversal of 404330040 is 40033404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404329995 and 404330022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26914 + ... + 39153.

Almost surely, 2404330040 is an apocalyptic number.

404330040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404330040 is an abundant number, since it is smaller than the sum of its proper divisors (987062040).

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

404330040 is a wasteful number, since it uses less digits than its factorization.

404330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66101 (or 66094 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 404330040 is about 20107.9596180219. The cubic root of 404330040 is about 739.4554308547.

Adding to 404330040 its reverse (40033404), we get a palindrome (444363444).

The spelling of 404330040 in words is "four hundred four million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 66067 132134 198201 264268 330335 396402 528536 594603 660670 792804 991005 1123139 1189206 1321340 1585608 1982010 2246278 2378412 2642680 2973015 3369417 3964020 4492556 4756824 5615695 5946030 6738834 7928040 8985112 10108251 11231390 11892060 13477668 16847085 20216502 22462780 23784120 26955336 33694170 40433004 44925560 50541255 67388340 80866008 101082510 134776680 202165020 404330040