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314410112 = 272984701
BaseRepresentation
bin10010101111011…
…000010010000000
3210220121200120222
4102233120102000
51120442110422
651110522212
710535304362
oct2257302200
9726550528
10314410112
11151526a75
1289366368
13501a4ab3
142da84d32
151c908842
hex12bd8480

314410112 has 32 divisors (see below), whose sum is σ = 647970300. Its totient is φ = 151782400.

The previous prime is 314410111. The next prime is 314410133. The reversal of 314410112 is 211014413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 308915776 + 5494336 = 17576^2 + 2344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (314410111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38639 + ... + 46062.

Almost surely, 2314410112 is an apocalyptic number.

314410112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314410112 is an abundant number, since it is smaller than the sum of its proper divisors (333560188).

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

314410112 is an equidigital number, since it uses as much as digits as its factorization.

314410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84744 (or 84732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 314410112 is about 17731.6133501721. The cubic root of 314410112 is about 679.9842210872.

Adding to 314410112 its reverse (211014413), we get a palindrome (525424525).

The spelling of 314410112 in words is "three hundred fourteen million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 84701 169402 338804 677608 1355216 2456329 2710432 4912658 5420864 9825316 10841728 19650632 39301264 78602528 157205056 314410112