Search a number
-
+
314340524320 = 2553847510691
BaseRepresentation
bin1001001001100000010…
…01111100000100100000
31010001100221011010212111
410210300021330010200
520122232133234240
6400223412205104
731465436241214
oct4446011740440
91101327133774
10314340524320
11111347038499
1250b08009794
1323846b56964
14112dd93a944
15829b6581ea
hex493027c120

314340524320 has 48 divisors (see below), whose sum is σ = 742823984448. Its totient is φ = 125703279360.

The previous prime is 314340524287. The next prime is 314340524327. The reversal of 314340524320 is 23425043413.

It is a happy number.

It is a super-2 number, since 2×3143405243202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314340524327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360175 + ... + 870865.

It is an arithmetic number, because the mean of its divisors is an integer number (15475499676).

Almost surely, 2314340524320 is an apocalyptic number.

It is an amenable number.

314340524320 is an abundant number, since it is smaller than the sum of its proper divisors (428483460128).

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

314340524320 is a wasteful number, since it uses less digits than its factorization.

314340524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514553 (or 514545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 314340524320 its reverse (23425043413), we get a palindrome (337765567733).

The spelling of 314340524320 in words is "three hundred fourteen billion, three hundred forty million, five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3847 7694 15388 19235 30776 38470 61552 76940 123104 153880 307760 510691 615520 1021382 2042764 2553455 4085528 5106910 8171056 10213820 16342112 20427640 40855280 81710560 1964628277 3929256554 7858513108 9823141385 15717026216 19646282770 31434052432 39292565540 62868104864 78585131080 157170262160 314340524320