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312203304 = 23327288493
BaseRepresentation
bin10010100110111…
…101100000101000
3210202110120102100
4102212331200220
51114411001204
650551333400
710510453500
oct2246754050
9722416370
10312203304
11150259a66
1288681260
134c8b14aa
142d66ca00
151c61ea39
hex129bd828

312203304 has 72 divisors (see below), whose sum is σ = 983610810. Its totient is φ = 89199936.

The previous prime is 312203303. The next prime is 312203321. The reversal of 312203304 is 403302213.

312203304 is a `hidden beast` number, since 312 + 20 + 330 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 303804900 + 8398404 = 17430^2 + 2898^2 .

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

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 (312203303) 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 17 ways as a sum of consecutive naturals, for example, 40719 + ... + 47774.

Almost surely, 2312203304 is an apocalyptic number.

It is an amenable number.

312203304 is an abundant number, since it is smaller than the sum of its proper divisors (671407506).

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

312203304 is a wasteful number, since it uses less digits than its factorization.

312203304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88519 (or 88505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312203304 is about 17669.2757067176. The cubic root of 312203304 is about 678.3895743195.

Adding to 312203304 its reverse (403302213), we get a palindrome (715505517).

The spelling of 312203304 in words is "three hundred twelve million, two hundred three thousand, three hundred four".

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 88493 176986 265479 353972 530958 619451 707944 796437 1061916 1238902 1592874 1858353 2123832 2477804 3185748 3716706 4336157 4955608 5575059 6371496 7433412 8672314 11150118 13008471 14866824 17344628 22300236 26016942 34689256 39025413 44600472 52033884 78050826 104067768 156101652 312203304