Search a number
-
+
313378256 = 2431289229
BaseRepresentation
bin10010101011011…
…100010111010000
3210211200021011002
4102223130113100
51120211101011
651032441132
710523446142
oct2253342720
9724607132
10313378256
111509917a4
1288b491a8
134cc03229
142d896c92
151c7a2c3b
hex12adc5d0

313378256 has 60 divisors (see below), whose sum is σ = 637208100. Its totient is φ = 149276160.

The previous prime is 313378223. The next prime is 313378277. The reversal of 313378256 is 652873313.

It can be written as a sum of positive squares in 2 ways, for example, as 186049600 + 127328656 = 13640^2 + 11284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368350 + ... + 1368578.

It is an arithmetic number, because the mean of its divisors is an integer number (10620135).

Almost surely, 2313378256 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 313378256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318604050).

313378256 is an abundant number, since it is smaller than the sum of its proper divisors (323829844).

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

313378256 is a wasteful number, since it uses less digits than its factorization.

313378256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 351 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 313378256 is about 17702.4929317879. The cubic root of 313378256 is about 679.2395304783.

It can be divided in two parts, 31337 and 8256, that added together give a palindrome (39593).

The spelling of 313378256 in words is "three hundred thirteen million, three hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 89 124 178 229 248 356 458 496 712 916 961 1424 1832 1922 2759 3664 3844 5518 7099 7688 11036 14198 15376 20381 22072 28396 40762 44144 56792 81524 85529 113584 163048 171058 220069 326096 342116 440138 631811 684232 880276 1263622 1368464 1760552 2527244 3521104 5054488 10108976 19586141 39172282 78344564 156689128 313378256