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314123304 = 233114129021
BaseRepresentation
bin10010101110010…
…010010000101000
3210220002010011110
4102232102100220
51120403421204
651100430320
710533001245
oct2256222050
9726063143
10314123304
11151350540
12892483a0
13501043a1
142da0c5cc
151c89d889
hex12b92428

314123304 has 64 divisors (see below), whose sum is σ = 877625280. Its totient is φ = 92864000.

The previous prime is 314123267. The next prime is 314123309. The reversal of 314123304 is 403321413.

It is not an unprimeable number, because it can be changed into a prime (314123309) 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, 3687 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (13712895).

Almost surely, 2314123304 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 314123304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438812640).

314123304 is an abundant number, since it is smaller than the sum of its proper divisors (563501976).

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

314123304 is a wasteful number, since it uses less digits than its factorization.

314123304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314123304 is about 17723.5240288155. The cubic root of 314123304 is about 679.7773954176. Note that the first 3 decimals are identical.

Adding to 314123304 its reverse (403321413), we get a palindrome (717444717).

It can be divided in two parts, 31412 and 3304, that added together give a triangular number (34716 = T263).

The spelling of 314123304 in words is "three hundred fourteen million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 29021 58042 87063 116084 174126 232168 319231 348252 638462 696504 957693 1189861 1276924 1915386 2379722 2553848 3569583 3830772 4759444 7139166 7661544 9518888 13088471 14278332 26176942 28556664 39265413 52353884 78530826 104707768 157061652 314123304