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313845980 = 225724173107
BaseRepresentation
bin10010101101001…
…110100011011100
3210212120000202012
4102231032203130
51120321032410
651050450352
710530434600
oct2255164334
9725500665
10313845980
11151181148
12891339b8
13500380a6
142d979500
151c846605
hex12b4e8dc

313845980 has 144 divisors (see below), whose sum is σ = 803579616. Its totient is φ = 102574080.

The previous prime is 313845979. The next prime is 313846031. The reversal of 313845980 is 89548313.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 2933087 + ... + 2933193.

It is an arithmetic number, because the mean of its divisors is an integer number (5580414).

Almost surely, 2313845980 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 313845980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401789808).

313845980 is an abundant number, since it is smaller than the sum of its proper divisors (489733636).

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

313845980 is a wasteful number, since it uses less digits than its factorization.

313845980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 313845980 is about 17715.6986878870. The cubic root of 313845980 is about 679.5772891863.

The spelling of 313845980 in words is "three hundred thirteen million, eight hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 73 82 98 107 140 146 164 196 205 214 245 287 292 365 410 428 490 511 535 574 730 749 820 980 1022 1070 1148 1435 1460 1498 2009 2044 2140 2555 2870 2993 2996 3577 3745 4018 4387 5110 5243 5740 5986 7154 7490 7811 8036 8774 10045 10220 10486 11972 14308 14965 14980 15622 17548 17885 20090 20951 20972 21935 26215 29930 30709 31244 35770 39055 40180 41902 43870 52430 54677 59860 61418 71540 78110 83804 87740 104755 104860 109354 122836 146657 153545 156220 209510 214963 218708 273385 293314 307090 320251 382739 419020 429926 546770 586628 614180 640502 733285 765478 859852 1074815 1093540 1281004 1466570 1530956 1601255 1913695 2149630 2241757 2933140 3202510 3827390 4299260 4483514 6405020 7654780 8967028 11208785 15692299 22417570 31384598 44835140 62769196 78461495 156922990 313845980