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404312328 = 233272114601
BaseRepresentation
bin11000000110010…
…101000100001000
31001011210012020200
4120012111010020
51312000443303
6104041452200
713006412100
oct3006250410
91034705220
10404312328
11198250922
12b34a1060
13659c1384
143b9a8200
15257663a3
hex18195108

404312328 has 72 divisors (see below), whose sum is σ = 1273801230. Its totient is φ = 115516800.

The previous prime is 404312327. The next prime is 404312329. The reversal of 404312328 is 823213404.

It is an interprime number because it is at equal distance from previous prime (404312327) and next prime (404312329).

It can be written as a sum of positive squares in only one way, i.e., 339959844 + 64352484 = 18438^2 + 8022^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (404312327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53773 + ... + 60828.

Almost surely, 2404312328 is an apocalyptic number.

It is an amenable number.

404312328 is an abundant number, since it is smaller than the sum of its proper divisors (869488902).

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

404312328 is a wasteful number, since it uses less digits than its factorization.

404312328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114627 (or 114613 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 404312328 is about 20107.5191905914. The cubic root of 404312328 is about 739.4446332187. Note that the first 3 decimals are identical.

The spelling of 404312328 in words is "four hundred four million, three hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 114601 229202 343803 458404 687606 802207 916808 1031409 1375212 1604414 2062818 2406621 2750424 3208828 4125636 4813242 5615449 6417656 7219863 8251272 9626484 11230898 14439726 16846347 19252968 22461796 28879452 33692694 44923592 50539041 57758904 67385388 101078082 134770776 202156164 404312328