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310071312 = 24322153273
BaseRepresentation
bin10010011110110…
…101000000010000
3210121110020212200
4102132311000100
51113334240222
650433523200
710453363665
oct2236650020
9717406780
10310071312
1114a033191
1287a13500
134c315c65
142d275a6c
151c34ceac
hex127b5010

310071312 has 30 divisors (see below), whose sum is σ = 867769422. Its totient is φ = 103357056.

The previous prime is 310071263. The next prime is 310071353. The reversal of 310071312 is 213170013.

310071312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197796096 + 112275216 = 14064^2 + 10596^2 .

It is a super-2 number, since 2×3100713122 = 192288437050802688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1076493 + ... + 1076780.

Almost surely, 2310071312 is an apocalyptic number.

It is an amenable number.

310071312 is an abundant number, since it is smaller than the sum of its proper divisors (557698110).

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

310071312 is a wasteful number, since it uses less digits than its factorization.

310071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153287 (or 2153278 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 310071312 is about 17608.8418699243. The cubic root of 310071312 is about 676.8418371938.

The spelling of 310071312 in words is "three hundred ten million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2153273 4306546 6459819 8613092 12919638 17226184 19379457 25839276 34452368 38758914 51678552 77517828 103357104 155035656 310071312