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316482320 = 24571183619
BaseRepresentation
bin10010110111010…
…010001100010000
3211001111222010102
4102313102030100
51122004413240
651223151532
710562024660
oct2267221420
9731458112
10316482320
11152711940
1289ba55a8
135074c05b
14300641a0
151cbb7815
hex12dd2310

316482320 has 160 divisors (see below), whose sum is σ = 929940480. Its totient is φ = 97297920.

The previous prime is 316482253. The next prime is 316482329. The reversal of 316482320 is 23284613.

It is a super-2 number, since 2×3164823202 = 200322117745164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316482329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510971 + ... + 511589.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2316482320 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 316482320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

316482320 is an abundant number, since it is smaller than the sum of its proper divisors (613458160).

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

316482320 is a wasteful number, since it uses less digits than its factorization.

316482320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 316482320 is about 17789.9499718240. The cubic root of 316482320 is about 681.4748266725.

The spelling of 316482320 in words is "three hundred sixteen million, four hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 83 88 110 112 140 154 166 176 220 280 308 332 385 415 440 560 581 616 619 664 770 830 880 913 1162 1232 1238 1328 1540 1660 1826 2324 2476 2905 3080 3095 3320 3652 4333 4565 4648 4952 5810 6160 6190 6391 6640 6809 7304 8666 9130 9296 9904 11620 12380 12782 13618 14608 17332 18260 21665 23240 24760 25564 27236 31955 34045 34664 36520 43330 46480 47663 49520 51128 51377 54472 63910 68090 69328 73040 86660 95326 102256 102754 108944 127820 136180 173320 190652 205508 238315 255640 256885 272360 346640 359639 381304 411016 476630 511280 513770 544720 565147 719278 762608 822032 953260 1027540 1130294 1438556 1798195 1906520 2055080 2260588 2825735 2877112 3596390 3813040 3956029 4110160 4521176 5651470 5754224 7192780 7912058 9042352 11302940 14385560 15824116 19780145 22605880 28771120 31648232 39560290 45211760 63296464 79120580 158241160 316482320