Search a number
-
+
313391250 = 2325489313
BaseRepresentation
bin10010101011011…
…111100010010010
3210211200220222100
4102223133202102
51120212010000
651033021230
710523532054
oct2253374222
9724626870
10313391250
111509a0537
1288b54816
134cc09113
142d89b8d4
151c7a6a00
hex12adf892

313391250 has 120 divisors (see below), whose sum is σ = 860771340. Its totient is φ = 82368000.

The previous prime is 313391233. The next prime is 313391251. The reversal of 313391250 is 52193313.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 162027441 + 151363809 = 12729^2 + 12303^2 .

It is not an unprimeable number, because it can be changed into a prime (313391251) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1001094 + ... + 1001406.

Almost surely, 2313391250 is an apocalyptic number.

313391250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313391250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430385670).

313391250 is an abundant number, since it is smaller than the sum of its proper divisors (547380090).

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

313391250 is a wasteful number, since it uses less digits than its factorization.

313391250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 313391250 is about 17702.8599384393. The cubic root of 313391250 is about 679.2489184052.

The spelling of 313391250 in words is "three hundred thirteen million, three hundred ninety-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 125 150 178 225 250 267 313 375 445 450 534 625 626 750 801 890 939 1125 1250 1335 1565 1602 1875 1878 2225 2250 2670 2817 3130 3750 4005 4450 4695 5625 5634 6675 7825 8010 9390 11125 11250 13350 14085 15650 20025 22250 23475 27857 28170 33375 39125 40050 46950 55625 55714 66750 70425 78250 83571 100125 111250 117375 139285 140850 166875 167142 195625 200250 234750 250713 278570 333750 352125 391250 417855 500625 501426 586875 696425 704250 835710 1001250 1173750 1253565 1392850 1760625 2089275 2507130 3482125 3521250 4178550 6267825 6964250 10446375 12535650 17410625 20892750 31339125 34821250 52231875 62678250 104463750 156695625 313391250