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313171248 = 243131633079
BaseRepresentation
bin10010101010101…
…001110100110000
3210211021202012010
4102222221310300
51120132434443
651024202520
710521624465
oct2252516460
9724252163
10313171248
11150860215
1288a69440
134cb5cc40
142d84166c
151c761733
hex12aa9d30

313171248 has 80 divisors (see below), whose sum is σ = 876888320. Its totient is φ = 95738112.

The previous prime is 313171237. The next prime is 313171249. The reversal of 313171248 is 842171313.

313171248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (313171249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100173 + ... + 103251.

It is an arithmetic number, because the mean of its divisors is an integer number (10961104).

Almost surely, 2313171248 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 313171248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438444160).

313171248 is an abundant number, since it is smaller than the sum of its proper divisors (563717072).

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

313171248 is a wasteful number, since it uses less digits than its factorization.

313171248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3260 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 313171248 is about 17696.6451057821. The cubic root of 313171248 is about 679.0899359804.

The spelling of 313171248 in words is "three hundred thirteen million, one hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 208 312 326 489 624 652 978 1304 1956 2119 2608 3079 3912 4238 6158 6357 7824 8476 9237 12316 12714 16952 18474 24632 25428 33904 36948 40027 49264 50856 73896 80054 101712 120081 147792 160108 240162 320216 480324 501877 640432 960648 1003754 1505631 1921296 2007508 3011262 4015016 6022524 6524401 8030032 12045048 13048802 19573203 24090096 26097604 39146406 52195208 78292812 104390416 156585624 313171248