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313008240 = 24353142071
BaseRepresentation
bin10010101010000…
…010000001110000
3210210222110120210
4102222002001300
51120112230430
651020504120
710520345316
oct2252020160
9723873523
10313008240
111507597a6
12889ab040
134cb0399c
142d7dc0b6
151c72d2b0
hex12a82070

313008240 has 80 divisors (see below), whose sum is σ = 1001650176. Its totient is φ = 80774400.

The previous prime is 313008217. The next prime is 313008253. The reversal of 313008240 is 42800313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13596 + ... + 28475.

Almost surely, 2313008240 is an apocalyptic number.

313008240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313008240 is an abundant number, since it is smaller than the sum of its proper divisors (688641936).

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

313008240 is a wasteful number, since it uses less digits than its factorization.

313008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42118 (or 42112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 313008240 is about 17692.0388875901. The cubic root of 313008240 is about 678.9720917181.

Adding to 313008240 its reverse (42800313), we get a palindrome (355808553).

The spelling of 313008240 in words is "three hundred thirteen million, eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 42071 84142 126213 168284 210355 252426 336568 420710 504852 631065 673136 841420 1009704 1262130 1304201 1682840 2019408 2524260 2608402 3365680 3912603 5048520 5216804 6521005 7825206 10097040 10433608 13042010 15650412 19563015 20867216 26084020 31300824 39126030 52168040 62601648 78252060 104336080 156504120 313008240