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312120320 = 210560961
BaseRepresentation
bin10010100110101…
…001010000000000
3210202022100120212
4102212221100000
51114400322240
650545453252
710506656531
oct2246512000
9722270525
10312120320
11150202686
1288641228
134c8827a5
142d64a688
151c605165
hex129a9400

312120320 has 44 divisors (see below), whose sum is σ = 748735284. Its totient is φ = 124846080.

The previous prime is 312120313. The next prime is 312120329. The reversal of 312120320 is 23021213.

Adding to 312120320 its reverse (23021213), we get a palindrome (335141533).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37356544 + 274763776 = 6112^2 + 16576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312120295 and 312120304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25361 + ... + 35600.

It is an arithmetic number, because the mean of its divisors is an integer number (17016711).

Almost surely, 2312120320 is an apocalyptic number.

It is an amenable number.

312120320 is an abundant number, since it is smaller than the sum of its proper divisors (436614964).

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

312120320 is an equidigital number, since it uses as much as digits as its factorization.

312120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60986 (or 60968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312120320 is about 17666.9272936750. The cubic root of 312120320 is about 678.3294634150.

The spelling of 312120320 in words is "three hundred twelve million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 60961 121922 243844 304805 487688 609610 975376 1219220 1950752 2438440 3901504 4876880 7803008 9753760 15606016 19507520 31212032 39015040 62424064 78030080 156060160 312120320