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316303488 = 2733194817
BaseRepresentation
bin10010110110100…
…110100010000000
3211001011212211000
4102312212202000
51121433202423
651215252000
710560351414
oct2266464200
9731155730
10316303488
111525aa546
1289b1a000
13506b8837
1430018d44
151cb7e843
hex12da6880

316303488 has 128 divisors (see below), whose sum is σ = 982872000. Its totient is φ = 99864576.

The previous prime is 316303487. The next prime is 316303499. The reversal of 316303488 is 884303613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3163034882 = 200095793041932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (316303487) 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 15 ways as a sum of consecutive naturals, for example, 63256 + ... + 68072.

Almost surely, 2316303488 is an apocalyptic number.

316303488 is a gapful number since it is divisible by the number (38) 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 316303488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491436000).

316303488 is an abundant number, since it is smaller than the sum of its proper divisors (666568512).

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

316303488 is a wasteful number, since it uses less digits than its factorization.

316303488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 316303488 is about 17784.9230529682. The cubic root of 316303488 is about 681.3464440739.

The spelling of 316303488 in words is "three hundred sixteen million, three hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 4817 5472 7296 8208 9634 10944 14451 16416 19268 21888 28902 32832 38536 43353 57804 65664 77072 86706 91523 115608 130059 154144 173412 183046 231216 260118 274569 308288 346824 366092 462432 520236 549138 616576 693648 732184 823707 924864 1040472 1098276 1387296 1464368 1647414 1849728 2080944 2196552 2471121 2774592 2928736 3294828 4161888 4393104 4942242 5549184 5857472 6589656 8323776 8786208 9884484 11714944 13179312 16647552 17572416 19768968 26358624 35144832 39537936 52717248 79075872 105434496 158151744 316303488