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318140032 = 2771492383
BaseRepresentation
bin10010111101100…
…110111010000000
3211011122012002011
4102331212322000
51122420440112
651322502304
710612100650
oct2275467200
9734565064
10318140032
11153644351
128a664994
1350bac752
1430376360
151cde3aa7
hex12f66e80

318140032 has 64 divisors (see below), whose sum is σ = 729504000. Its totient is φ = 135373824.

The previous prime is 318140029. The next prime is 318140083. The reversal of 318140032 is 230041813.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3181400322 = 202426159921922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318139985 and 318140012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132313 + ... + 134695.

It is an arithmetic number, because the mean of its divisors is an integer number (11398500).

Almost surely, 2318140032 is an apocalyptic number.

318140032 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 318140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364752000).

318140032 is an abundant number, since it is smaller than the sum of its proper divisors (411363968).

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

318140032 is a wasteful number, since it uses less digits than its factorization.

318140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 318140032 is about 17836.4803702973. The cubic root of 318140032 is about 682.6625942411.

Adding to 318140032 its reverse (230041813), we get a palindrome (548181845).

The spelling of 318140032 in words is "three hundred eighteen million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 448 596 896 1043 1192 2086 2383 2384 4172 4766 4768 8344 9532 9536 16681 16688 19064 19072 33362 33376 38128 66724 66752 76256 133448 133504 152512 266896 305024 355067 533792 710134 1067584 1420268 2135168 2485469 2840536 4970938 5681072 9941876 11362144 19883752 22724288 39767504 45448576 79535008 159070016 318140032