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316361472 = 283783709
BaseRepresentation
bin10010110110110…
…100101100000000
3211001021211100120
4102312310230000
51121442031342
651220420240
710561012440
oct2266645400
9731254316
10316361472
1115263a069
1289b47680
135070904b
1430032120
151cb91aec
hex12db4b00

316361472 has 144 divisors (see below), whose sum is σ = 975233280. Its totient is φ = 89174016.

The previous prime is 316361431. The next prime is 316361477. The reversal of 316361472 is 274163613.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (316361477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445854 + ... + 446562.

Almost surely, 2316361472 is an apocalyptic number.

316361472 is a gapful number since it is divisible by the number (32) 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 316361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487616640).

316361472 is an abundant number, since it is smaller than the sum of its proper divisors (658871808).

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

316361472 is an equidigital number, since it uses as much as digits as its factorization.

316361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 316361472 is about 17786.5531230759. The cubic root of 316361472 is about 681.3880757977.

The spelling of 316361472 in words is "three hundred sixteen million, three hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 256 332 336 384 448 498 581 664 672 709 768 896 996 1162 1328 1344 1418 1743 1792 1992 2127 2324 2656 2688 2836 3486 3984 4254 4648 4963 5312 5376 5672 6972 7968 8508 9296 9926 10624 11344 13944 14889 15936 17016 18592 19852 21248 22688 27888 29778 31872 34032 37184 39704 45376 55776 58847 59556 63744 68064 74368 79408 90752 111552 117694 119112 136128 148736 158816 176541 181504 223104 235388 238224 272256 317632 353082 411929 446208 470776 476448 544512 635264 706164 823858 941552 952896 1235787 1270528 1412328 1647716 1883104 1905792 2471574 2824656 3295432 3766208 3811584 4943148 5649312 6590864 7532416 9886296 11298624 13181728 15064832 19772592 22597248 26363456 39545184 45194496 52726912 79090368 105453824 158180736 316361472