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313047460 = 2251129139353
BaseRepresentation
bin10010101010001…
…011100110100100
3210211001110101101
4102222023212210
51120120004320
651021405444
710520600545
oct2252134644
9724043341
10313047460
11150786210
1288a09884
134cb187ab
142d80c4cc
151c739c0a
hex12a8b9a4

313047460 has 96 divisors (see below), whose sum is σ = 749347200. Its totient is φ = 108810240.

The previous prime is 313047419. The next prime is 313047461. The reversal of 313047460 is 64740313.

It is not an unprimeable number, because it can be changed into a prime (313047461) by changing a digit.

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, 886644 + ... + 886996.

It is an arithmetic number, because the mean of its divisors is an integer number (7805700).

Almost surely, 2313047460 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 313047460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374673600).

313047460 is an abundant number, since it is smaller than the sum of its proper divisors (436299740).

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

313047460 is a wasteful number, since it uses less digits than its factorization.

313047460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 313047460 is about 17693.1472610161. The cubic root of 313047460 is about 679.0004489836. Note that the first 3 decimals are identical.

Adding to 313047460 its reverse (64740313), we get a palindrome (377787773).

The spelling of 313047460 in words is "three hundred thirteen million, forty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 139 145 220 278 290 319 353 556 580 638 695 706 1276 1390 1412 1529 1595 1765 2780 3058 3190 3530 3883 4031 6116 6380 7060 7645 7766 8062 10237 15290 15532 16124 19415 20155 20474 30580 38830 40310 40948 44341 49067 51185 77660 80620 88682 98134 102370 112607 177364 196268 204740 221705 225214 245335 443410 450428 490670 539737 563035 886820 981340 1079474 1126070 1422943 2158948 2252140 2698685 2845886 5397370 5691772 7114715 10794740 14229430 15652373 28458860 31304746 62609492 78261865 156523730 313047460