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1313574318 = 232741892857
BaseRepresentation
bin100111001001011…
…1000110110101110
310101112201111012200
41032102320312232
510142233334233
6334202242330
744360124510
oct11622706656
93345644180
101313574318
11614529911
12307ab63a6
1317c1ab714
14c6655bb0
157a4c2313
hex4e4b8dae

1313574318 has 96 divisors (see below), whose sum is σ = 3370610880. Its totient is φ = 361912320.

The previous prime is 1313574293. The next prime is 1313574319. The reversal of 1313574318 is 8134753131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313574319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 458346 + ... + 461202.

It is an arithmetic number, because the mean of its divisors is an integer number (35110530).

Almost surely, 21313574318 is an apocalyptic number.

1313574318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313574318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685305440).

1313574318 is an abundant number, since it is smaller than the sum of its proper divisors (2057036562).

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

1313574318 is a wasteful number, since it uses less digits than its factorization.

1313574318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2999 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1313574318 is about 36243.2658296683. The cubic root of 1313574318 is about 1095.1784334230.

The spelling of 1313574318 in words is "one billion, three hundred thirteen million, five hundred seventy-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 89 123 126 178 246 267 287 369 534 574 623 738 801 861 1246 1602 1722 1869 2583 2857 3649 3738 5166 5607 5714 7298 8571 10947 11214 17142 19999 21894 25543 25713 32841 39998 51086 51426 59997 65682 76629 117137 119994 153258 179991 229887 234274 254273 351411 359982 459774 508546 702822 762819 819959 1054233 1525638 1639918 1779911 2108466 2288457 2459877 3559822 4576914 4919754 5339733 7379631 10425193 10679466 14759262 16019199 20850386 31275579 32038398 62551158 72976351 93826737 145952702 187653474 218929053 437858106 656787159 1313574318