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312341376 = 2735471487
BaseRepresentation
bin10010100111011…
…111001110000000
3210202201120211010
4102213133032000
51114424411001
650554320520
710511600154
oct2247371600
9722646733
10312341376
11150343776
1288729140
134c92c2a9
142d6a7064
151c64a8d6
hex129df380

312341376 has 64 divisors (see below), whose sum is σ = 831732480. Its totient is φ = 103853568.

The previous prime is 312341327. The next prime is 312341413. The reversal of 312341376 is 673143213.

312341376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209305 + ... + 210791.

It is an arithmetic number, because the mean of its divisors is an integer number (12995820).

Almost surely, 2312341376 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 312341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415866240).

312341376 is an abundant number, since it is smaller than the sum of its proper divisors (519391104).

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

312341376 is a wasteful number, since it uses less digits than its factorization.

312341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2039 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 312341376 is about 17673.1823959354. The cubic root of 312341376 is about 678.4895655746.

Adding to 312341376 its reverse (673143213), we get a palindrome (985484589).

The spelling of 312341376 in words is "three hundred twelve million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 547 1094 1487 1641 2188 2974 3282 4376 4461 5948 6564 8752 8922 11896 13128 17504 17844 23792 26256 35008 35688 47584 52512 70016 71376 95168 105024 142752 190336 210048 285504 571008 813389 1626778 2440167 3253556 4880334 6507112 9760668 13014224 19521336 26028448 39042672 52056896 78085344 104113792 156170688 312341376