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404204130 = 232511237117
BaseRepresentation
bin11000000101111…
…010101001100010
31001011120200211100
4120011322221202
51311434013010
6104035255230
713005451461
oct3005725142
91034520740
10404204130
11198187600
12b344a516
1365984055
143b97a9d8
15257442c0
hex1817aa62

404204130 has 72 divisors (see below), whose sum is σ = 1155186396. Its totient is φ = 97986240.

The previous prime is 404204123. The next prime is 404204137. The reversal of 404204130 is 31402404.

It is an interprime number because it is at equal distance from previous prime (404204123) and next prime (404204137).

It can be written as a sum of positive squares in 2 ways, for example, as 403889409 + 314721 = 20097^2 + 561^2 .

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

It is not an unprimeable number, because it can be changed into a prime (404204137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7669 + ... + 29448.

Almost surely, 2404204130 is an apocalyptic number.

404204130 is an abundant number, since it is smaller than the sum of its proper divisors (750982266).

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

404204130 is a wasteful number, since it uses less digits than its factorization.

404204130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37152 (or 37138 counting only the distinct ones).

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

The square root of 404204130 is about 20104.8285245112. The cubic root of 404204130 is about 739.3786664213.

Adding to 404204130 its reverse (31402404), we get a palindrome (435606534).

The spelling of 404204130 in words is "four hundred four million, two hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 37117 74234 111351 185585 222702 334053 371170 408287 556755 668106 816574 1113510 1224861 1670265 2041435 2449722 3340530 3674583 4082870 4491157 6124305 7349166 8982314 12248610 13473471 18372915 22455785 26946942 36745830 40420413 44911570 67367355 80840826 134734710 202102065 404204130