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314302340 = 22511311807
BaseRepresentation
bin10010101110111…
…101111110000100
3210220102012202102
4102232331332010
51120430133330
651104331232
710534345232
oct2256757604
9726365672
10314302340
11151463000
1289313b18
1350167a21
142da57952
151c8d6945
hex12bbdf84

314302340 has 48 divisors (see below), whose sum is σ = 726050304. Its totient is φ = 114282080.

The previous prime is 314302333. The next prime is 314302367. The reversal of 314302340 is 43203413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20717 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (15126048).

Almost surely, 2314302340 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 314302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363025152).

314302340 is an abundant number, since it is smaller than the sum of its proper divisors (411747964).

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

314302340 is a wasteful number, since it uses less digits than its factorization.

314302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314302340 is about 17728.5741107400. The cubic root of 314302340 is about 679.9065182912.

Adding to 314302340 its reverse (43203413), we get a palindrome (357505753).

The spelling of 314302340 in words is "three hundred fourteen million, three hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 11807 13310 23614 26620 47228 59035 118070 129877 236140 259754 519508 649385 1298770 1428647 2597540 2857294 5714588 7143235 14286470 15715117 28572940 31430234 62860468 78575585 157151170 314302340