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10400312 = 2313100003
BaseRepresentation
bin100111101011…
…001000111000
3201120101112202
4213223020320
510130302222
61010525332
7154254416
oct47531070
921511482
1010400312
1159639aa
123596848
132201b40
14154a2b6
15da6892
hex9eb238

10400312 has 16 divisors (see below), whose sum is σ = 21000840. Its totient is φ = 4800096.

The previous prime is 10400309. The next prime is 10400329. The reversal of 10400312 is 21300401.

It is a happy number.

10400312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10400312 is a modest number, since divided by 312 gives 104 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10400293 and 10400302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49898 + ... + 50105.

Almost surely, 210400312 is an apocalyptic number.

It is an amenable number.

10400312 is an abundant number, since it is smaller than the sum of its proper divisors (10600528).

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

10400312 is a wasteful number, since it uses less digits than its factorization.

10400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100022 (or 100018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10400312 is about 3224.9514725031. The cubic root of 10400312 is about 218.2807593762.

Adding to 10400312 its reverse (21300401), we get a palindrome (31700713).

The spelling of 10400312 in words is "ten million, four hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 100003 200006 400012 800024 1300039 2600078 5200156 10400312