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2000406312 = 233229958049
BaseRepresentation
bin111011100111011…
…1100011100101000
312011102010011120200
41313032330130220
513044101000222
6530255352200
7100400113242
oct16716743450
95142104520
102000406312
119371a4963
12479b22660
1325b58a298
1414d963092
15ba942eac
hex773bc728

2000406312 has 48 divisors (see below), whose sum is σ = 5604592500. Its totient is φ = 643808256.

The previous prime is 2000406299. The next prime is 2000406313. The reversal of 2000406312 is 2136040002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1871946756 + 128459556 = 43266^2 + 11334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000406313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476937 + ... + 481112.

Almost surely, 22000406312 is an apocalyptic number.

It is an amenable number.

2000406312 is an abundant number, since it is smaller than the sum of its proper divisors (3604186188).

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

2000406312 is a wasteful number, since it uses less digits than its factorization.

2000406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958090 (or 958083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000406312 is about 44725.9020255601. The cubic root of 2000406312 is about 1260.0063642914.

Adding to 2000406312 its reverse (2136040002), we get a palindrome (4136446314).

The spelling of 2000406312 in words is "two billion, four hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 958049 1916098 2874147 3832196 5748294 7664392 8622441 11496588 17244882 22993176 27783421 34489764 55566842 68979528 83350263 111133684 166700526 222267368 250050789 333401052 500101578 666802104 1000203156 2000406312