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316376080 = 24529315383
BaseRepresentation
bin10010110110111…
…000010000010000
3211001022120101121
4102312320100100
51121443013310
651221012024
710561103146
oct2266702020
9731276347
10316376080
1115264a039
1289b54014
13507128a7
1430037596
151cb960da
hex12db8410

316376080 has 160 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 114616320.

The previous prime is 316376059. The next prime is 316376083. The reversal of 316376080 is 80673613.

It is not an unprimeable number, because it can be changed into a prime (316376083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3811719 + ... + 3811801.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2316376080 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 316376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

316376080 is an abundant number, since it is smaller than the sum of its proper divisors (493572080).

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

316376080 is a wasteful number, since it uses less digits than its factorization.

316376080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 316376080 is about 17786.9637656347. The cubic root of 316376080 is about 681.3985633408.

The spelling of 316376080 in words is "three hundred sixteen million, three hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 53 58 62 80 83 106 116 124 145 155 166 212 232 248 265 290 310 332 415 424 464 496 530 580 620 664 830 848 899 1060 1160 1240 1328 1537 1643 1660 1798 2120 2320 2407 2480 2573 3074 3286 3320 3596 4240 4399 4495 4814 5146 6148 6572 6640 7192 7685 8215 8798 8990 9628 10292 12035 12296 12865 13144 14384 15370 16430 17596 17980 19256 20584 21995 24070 24592 25730 26288 30740 32860 35192 35960 38512 41168 43990 47647 48140 51460 61480 65720 70384 71920 74617 87980 95294 96280 102920 122960 127571 131440 136369 149234 175960 190588 192560 205840 238235 255142 272738 298468 351920 373085 381176 476470 510284 545476 596936 637855 681845 746170 762352 952940 1020568 1090952 1193872 1275710 1363690 1492340 1905880 2041136 2181904 2551420 2727380 2984680 3811760 3954701 5102840 5454760 5969360 7909402 10205680 10909520 15818804 19773505 31637608 39547010 63275216 79094020 158188040 316376080