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313324620 = 223572176269
BaseRepresentation
bin10010101011001…
…111010001001100
3210211120112120120
4102223033101030
51120202341440
651031344540
710523133600
oct2253172114
9724515516
10313324620
11150955474
1288b22150
134cbb49ab
142d881500
151c791dd0
hex12acf44c

313324620 has 144 divisors (see below), whose sum is σ = 1080747360. Its totient is φ = 67393536.

The previous prime is 313324591. The next prime is 313324639. The reversal of 313324620 is 26423313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46846 + ... + 53114.

It is an arithmetic number, because the mean of its divisors is an integer number (7505190).

Almost surely, 2313324620 is an apocalyptic number.

313324620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313324620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540373680).

313324620 is an abundant number, since it is smaller than the sum of its proper divisors (767422740).

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

313324620 is a wasteful number, since it uses less digits than its factorization.

313324620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 313324620 is about 17700.9779390857. The cubic root of 313324620 is about 679.2007767045.

Adding to 313324620 its reverse (26423313), we get a palindrome (339747933).

The spelling of 313324620 in words is "three hundred thirteen million, three hundred twenty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 6269 7140 8330 9996 12495 12538 16660 18807 24990 25076 31345 37614 43883 49980 62690 75228 87766 94035 106573 125380 131649 175532 188070 213146 219415 263298 307181 319719 376140 426292 438830 526596 532865 614362 639438 658245 746011 877660 921543 1065730 1228724 1278876 1316490 1492022 1535905 1598595 1843086 2131460 2238033 2632980 2984044 3071810 3197190 3686172 3730055 4476066 4607715 5222077 6143620 6394380 7460110 8952132 9215430 10444154 11190165 14920220 15666231 18430860 20888308 22380330 26110385 31332462 44760660 52220770 62664924 78331155 104441540 156662310 313324620