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313643316 = 22373181421
BaseRepresentation
bin10010101100011…
…101000100110100
3210212011201202010
4102230131010310
51120243041231
651042244220
710525632000
oct2254350464
9725151663
10313643316
11151052958
1289056670
134cc96a7c
142d925700
151c806546
hex12b1d134

313643316 has 96 divisors (see below), whose sum is σ = 860204800. Its totient is φ = 88905600.

The previous prime is 313643299. The next prime is 313643327. The reversal of 313643316 is 613346313.

313643316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 744786 + ... + 745206.

Almost surely, 2313643316 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 313643316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430102400).

313643316 is an abundant number, since it is smaller than the sum of its proper divisors (546561484).

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

313643316 is a wasteful number, since it uses less digits than its factorization.

313643316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 313643316 is about 17709.9778655988. The cubic root of 313643316 is about 679.4309801512.

Adding to 313643316 its reverse (613346313), we get a palindrome (926989629).

The spelling of 313643316 in words is "three hundred thirteen million, six hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 343 362 421 543 588 686 724 842 1029 1086 1263 1267 1372 1684 2058 2172 2526 2534 2947 3801 4116 5052 5068 5894 7602 8841 8869 11788 15204 17682 17738 20629 26607 35364 35476 41258 53214 61887 62083 76201 82516 106428 123774 124166 144403 152402 186249 228603 247548 248332 288806 304804 372498 433209 457206 533407 577612 744996 866418 914412 1066814 1600221 1732836 2133628 3200442 3733849 6400884 7467698 11201547 14935396 22403094 26136943 44806188 52273886 78410829 104547772 156821658 313643316