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314747412 = 223713128603
BaseRepresentation
bin10010110000101…
…010101000010100
3210221020211021120
4102300222220110
51121033404122
651122043540
710541210640
oct2260525024
9727224246
10314747412
11151737431
12894a95b0
1350292495
142db31c20
151c97375c
hex12c2aa14

314747412 has 48 divisors (see below), whose sum is σ = 845763072. Its totient is φ = 89238240.

The previous prime is 314747383. The next prime is 314747413. The reversal of 314747412 is 214747413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314747413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3298 + ... + 25305.

It is an arithmetic number, because the mean of its divisors is an integer number (17620064).

Almost surely, 2314747412 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 314747412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422881536).

314747412 is an abundant number, since it is smaller than the sum of its proper divisors (531015660).

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

314747412 is a wasteful number, since it uses less digits than its factorization.

314747412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28748 (or 28746 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 314747412 is about 17741.1220614706. The cubic root of 314747412 is about 680.2272971408.

Subtracting from 314747412 its reverse (214747413), we obtain a palindrome (99999999).

The spelling of 314747412 in words is "three hundred fourteen million, seven hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 28603 57206 85809 114412 171618 200221 343236 400442 600663 800884 1201326 2402652 3746993 7493986 11240979 14987972 22481958 26228951 44963916 52457902 78686853 104915804 157373706 314747412