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6314310340 = 22513176012377
BaseRepresentation
bin1011110000101110…
…01011101011000100
3121022001111012101221
411320113023223010
5100412430412330
62522321330124
7312321516022
oct57027135304
917261435357
106314310340
1127502998a8
121282796944
13798237310
1443c869712
1526e521b7a
hex1785cbac4

6314310340 has 96 divisors (see below), whose sum is σ = 15151588704. Its totient is φ = 2189721600.

The previous prime is 6314310319. The next prime is 6314310349. The reversal of 6314310340 is 430134136.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 853691524 + 5460618816 = 29218^2 + 73896^2 .

It is not an unprimeable number, because it can be changed into a prime (6314310349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655232 + ... + 2657608.

It is an arithmetic number, because the mean of its divisors is an integer number (157829049).

Almost surely, 26314310340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6314310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575794352).

6314310340 is an abundant number, since it is smaller than the sum of its proper divisors (8837278364).

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

6314310340 is a wasteful number, since it uses less digits than its factorization.

6314310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 6314310340 is about 79462.6348669612. The cubic root of 6314310340 is about 1848.3121044955.

Adding to 6314310340 its reverse (430134136), we get a palindrome (6744444476).

The spelling of 6314310340 in words is "six billion, three hundred fourteen million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 601 884 1105 1202 2210 2377 2404 3005 4420 4754 6010 7813 9508 10217 11885 12020 15626 20434 23770 30901 31252 39065 40409 40868 47540 51085 61802 78130 80818 102170 123604 132821 154505 156260 161636 202045 204340 265642 309010 404090 525317 531284 618020 664105 808180 1050634 1328210 1428577 2101268 2626585 2656420 2857154 5253170 5714308 7142885 10506340 14285770 18571501 24285809 28571540 37143002 48571618 74286004 92857505 97143236 121429045 185715010 242858090 315715517 371430020 485716180 631431034 1262862068 1578577585 3157155170 6314310340