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312668442 = 232971311367
BaseRepresentation
bin10010101000101…
…111000100011010
3210210100012110200
4102220233010122
51120020342232
651005323030
710514431542
oct2250570432
9723305420
10312668442
11150547479
1288866476
134ca15118
142d750322
151c6b277c
hex12a2f11a

312668442 has 48 divisors (see below), whose sum is σ = 690161472. Its totient is φ = 102286080.

The previous prime is 312668413. The next prime is 312668443. The reversal of 312668442 is 244866213.

It is a junction number, because it is equal to n+sod(n) for n = 312668397 and 312668406.

It is not an unprimeable number, because it can be changed into a prime (312668443) 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 23 ways as a sum of consecutive naturals, for example, 228043 + ... + 229409.

It is an arithmetic number, because the mean of its divisors is an integer number (14378364).

Almost surely, 2312668442 is an apocalyptic number.

312668442 is an abundant number, since it is smaller than the sum of its proper divisors (377493030).

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

312668442 is a wasteful number, since it uses less digits than its factorization.

312668442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1600 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 312668442 is about 17682.4331470530. The cubic root of 312668442 is about 678.7263080973.

The spelling of 312668442 in words is "three hundred twelve million, six hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 97 131 194 262 291 393 582 786 873 1179 1367 1746 2358 2734 4101 8202 12303 12707 24606 25414 38121 76242 114363 132599 179077 228726 265198 358154 397797 537231 795594 1074462 1193391 1611693 2386782 3223386 17370469 34740938 52111407 104222814 156334221 312668442