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314249712 = 24374492083
BaseRepresentation
bin10010101110110…
…001000111110000
3210220022112120020
4102232301013300
51120421442322
651103243440
710534035630
oct2256610760
9726275506
10314249712
11151427507
12892a9580
1350149a9a
142da426c0
151c8c605c
hex12bb11f0

314249712 has 80 divisors (see below), whose sum is σ = 930297600. Its totient is φ = 89542656.

The previous prime is 314249711. The next prime is 314249737. The reversal of 314249712 is 217942413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314249711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149823 + ... + 151905.

It is an arithmetic number, because the mean of its divisors is an integer number (11628720).

Almost surely, 2314249712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314249712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465148800).

314249712 is an abundant number, since it is smaller than the sum of its proper divisors (616047888).

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

314249712 is a wasteful number, since it uses less digits than its factorization.

314249712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2544 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 314249712 is about 17727.0897780769. The cubic root of 314249712 is about 679.8685674468.

The spelling of 314249712 in words is "three hundred fourteen million, two hundred forty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 449 898 1347 1796 2083 2694 3143 3592 4166 5388 6249 6286 7184 8332 9429 10776 12498 12572 14581 16664 18858 21552 24996 25144 29162 33328 37716 43743 49992 50288 58324 75432 87486 99984 116648 150864 174972 233296 349944 699888 935267 1870534 2805801 3741068 5611602 6546869 7482136 11223204 13093738 14964272 19640607 22446408 26187476 39281214 44892816 52374952 78562428 104749904 157124856 314249712