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404104320 = 2732570157
BaseRepresentation
bin11000000101100…
…010010010000000
31001011101121220200
4120011202102000
51311422314240
6104033205200
713004554464
oct3005422200
91034347820
10404104320
11198119614
12b3400800
136594a7a9
143b9524a4
1525724930
hex18162480

404104320 has 96 divisors (see below), whose sum is σ = 1395442620. Its totient is φ = 107759616.

The previous prime is 404104291. The next prime is 404104339. The reversal of 404104320 is 23401404.

It can be written as a sum of positive squares in 2 ways, for example, as 376981056 + 27123264 = 19416^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 404104293 and 404104302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29319 + ... + 40838.

Almost surely, 2404104320 is an apocalyptic number.

404104320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404104320 is an abundant number, since it is smaller than the sum of its proper divisors (991338300).

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

404104320 is a wasteful number, since it uses less digits than its factorization.

404104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70182 (or 70167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404104320 is about 20102.3461317330. The cubic root of 404104320 is about 739.3178032300.

Adding to 404104320 its reverse (23401404), we get a palindrome (427505724).

The spelling of 404104320 in words is "four hundred four million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 70157 140314 210471 280628 350785 420942 561256 631413 701570 841884 1052355 1122512 1262826 1403140 1683768 2104710 2245024 2525652 2806280 3157065 3367536 4209420 4490048 5051304 5612560 6314130 6735072 8418840 8980096 10102608 11225120 12628260 13470144 16837680 20205216 22450240 25256520 26940288 33675360 40410432 44900480 50513040 67350720 80820864 101026080 134701440 202052160 404104320