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312540020 = 225131202077
BaseRepresentation
bin10010101000001…
…111101101110100
3210210002200022022
4102220033231310
51120002240040
651002452312
710513355252
oct2250175564
9723080268
10312540020
11150469a41
1288804098
134c99b830
142d7195d2
151c6896b5
hex12a0fb74

312540020 has 24 divisors (see below), whose sum is σ = 706821864. Its totient is φ = 115399296.

The previous prime is 312539977. The next prime is 312540023. The reversal of 312540020 is 20045213.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 312370276 = 412^2 + 17674^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312540023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600779 + ... + 601298.

It is an arithmetic number, because the mean of its divisors is an integer number (29450911).

Almost surely, 2312540020 is an apocalyptic number.

It is an amenable number.

312540020 is an abundant number, since it is smaller than the sum of its proper divisors (394281844).

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

312540020 is a wasteful number, since it uses less digits than its factorization.

312540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202099 (or 1202097 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 312540020 is about 17678.8014299613. The cubic root of 312540020 is about 678.6333711770.

Adding to 312540020 its reverse (20045213), we get a palindrome (332585233).

The spelling of 312540020 in words is "three hundred twelve million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1202077 2404154 4808308 6010385 12020770 15627001 24041540 31254002 62508004 78135005 156270010 312540020