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318028032 = 283472313
BaseRepresentation
bin10010111101001…
…011100100000000
3211011102111110000
4102331023210000
51122403344112
651320240000
710611123300
oct2275134400
9734374400
10318028032
11153578193
128a610000
1350b7078a
1430347600
151cdc07dc
hex12f4b900

318028032 has 270 divisors, whose sum is σ = 1106651238. Its totient is φ = 90574848.

The previous prime is 318028001. The next prime is 318028049. The reversal of 318028032 is 230820813.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 146313216 = 13104^2 + 12096^2 .

It is a super-2 number, since 2×3180280322 = 202283658275586048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 318027987 and 318028005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015908 + ... + 1016220.

Almost surely, 2318028032 is an apocalyptic number.

318028032 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 318028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553325619).

318028032 is an abundant number, since it is smaller than the sum of its proper divisors (788623206).

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

318028032 is an equidigital number, since it uses as much as digits as its factorization.

318028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 318028032 is about 17833.3404610578. The cubic root of 318028032 is about 682.5824752402.

Adding to 318028032 its reverse (230820813), we get a palindrome (548848845).

The spelling of 318028032 in words is "three hundred eighteen million, twenty-eight thousand, thirty-two".