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318382080 = 213352591
BaseRepresentation
bin10010111110100…
…010000000000000
3211012002111002220
4102332202000000
51123001211310
651332011040
710614126432
oct2276420000
9735074086
10318382080
1115379a195
128a760a80
1350c65983
14303da652
151ce40670
hex12fa2000

318382080 has 112 divisors (see below), whose sum is σ = 1019153664. Its totient is φ = 84869120.

The previous prime is 318382073. The next prime is 318382081. The reversal of 318382080 is 80283813.

318382080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (318382081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121585 + ... + 124175.

Almost surely, 2318382080 is an apocalyptic number.

318382080 is a gapful number since it is divisible by the number (30) 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 318382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509576832).

318382080 is an abundant number, since it is smaller than the sum of its proper divisors (700771584).

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

318382080 is an equidigital number, since it uses as much as digits as its factorization.

318382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 318382080 is about 17843.2642753505. The cubic root of 318382080 is about 682.8356786393.

The spelling of 318382080 in words is "three hundred eighteen million, three hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 2591 3072 3840 4096 5120 5182 6144 7680 7773 8192 10240 10364 12288 12955 15360 15546 20480 20728 24576 25910 30720 31092 38865 40960 41456 51820 61440 62184 77730 82912 103640 122880 124368 155460 165824 207280 248736 310920 331648 414560 497472 621840 663296 829120 994944 1243680 1326592 1658240 1989888 2487360 2653184 3316480 3979776 4974720 5306368 6632960 7959552 9949440 10612736 13265920 15919104 19898880 21225472 26531840 31838208 39797760 53063680 63676416 79595520 106127360 159191040 318382080