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313314534 = 233131313407
BaseRepresentation
bin10010101011001…
…100110011100110
3210211120000202000
4102223030303212
51120202031114
651031230130
710523062311
oct2253146346
9724500660
10313314534
11150948935
1288b18346
134cbb0220
142d87b978
151c78de09
hex12accce6

313314534 has 64 divisors (see below), whose sum is σ = 755758080. Its totient is φ = 95640480.

The previous prime is 313314523. The next prime is 313314571. The reversal of 313314534 is 435413313.

313314534 is a `hidden beast` number, since 313 + 314 + 5 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313314498 and 313314507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90259 + ... + 93665.

It is an arithmetic number, because the mean of its divisors is an integer number (11808720).

Almost surely, 2313314534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313314534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377879040).

313314534 is an abundant number, since it is smaller than the sum of its proper divisors (442443546).

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

313314534 is a wasteful number, since it uses less digits than its factorization.

313314534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3556 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 313314534 is about 17700.6930372796. The cubic root of 313314534 is about 679.1934887438.

Adding to 313314534 its reverse (435413313), we get a palindrome (748727847).

The spelling of 313314534 in words is "three hundred thirteen million, three hundred fourteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 234 262 351 393 702 786 1179 1703 2358 3406 3407 3537 5109 6814 7074 10218 10221 15327 20442 30654 30663 44291 45981 61326 88582 91962 91989 132873 183978 265746 398619 446317 797238 892634 1195857 1338951 2391714 2677902 4016853 5802121 8033706 11604242 12050559 17406363 24101118 34812726 52219089 104438178 156657267 313314534