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312885340 = 225173172903
BaseRepresentation
bin10010101001100…
…100000001011100
3210210202012222221
4102221210001130
51120044312330
651014115124
710516324105
oct2251440134
9723665887
10312885340
11150685429
128894baa4
134ca8ca71
142d7a93ac
151c706b7a
hex12a6405c

312885340 has 48 divisors (see below), whose sum is σ = 698144832. Its totient is φ = 117380096.

The previous prime is 312885301. The next prime is 312885343. The reversal of 312885340 is 43588213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 312885296 and 312885305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312885343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106329 + ... + 109231.

It is an arithmetic number, because the mean of its divisors is an integer number (14544684).

Almost surely, 2312885340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312885340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349072416).

312885340 is an abundant number, since it is smaller than the sum of its proper divisors (385259492).

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

312885340 is a wasteful number, since it uses less digits than its factorization.

312885340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 312885340 is about 17688.5652329407. The cubic root of 312885340 is about 678.8832158961.

The spelling of 312885340 in words is "three hundred twelve million, eight hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 317 340 634 1268 1585 2903 3170 5389 5806 6340 10778 11612 14515 21556 26945 29030 49351 53890 58060 98702 107780 197404 246755 493510 920251 987020 1840502 3681004 4601255 9202510 15644267 18405020 31288534 62577068 78221335 156442670 312885340