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1313343424 = 26232773221
BaseRepresentation
bin100111001001000…
…0000011111000000
310101112021202111001
41032102000133000
510142203442144
6334153301344
744355143401
oct11622003700
93345252431
101313343424
11614391398
12307a04854
1317c12a5b3
14c65d59a8
157a478bd4
hex4e4807c0

1313343424 has 56 divisors (see below), whose sum is σ = 2730142368. Its totient is φ = 625658880.

The previous prime is 1313343407. The next prime is 1313343439. The reversal of 1313343424 is 4243433131.

It is a junction number, because it is equal to n+sod(n) for n = 1313343392 and 1313343401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406134 + ... + 409354.

Almost surely, 21313343424 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 1313343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365071184).

1313343424 is an abundant number, since it is smaller than the sum of its proper divisors (1416798944).

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

1313343424 is a wasteful number, since it uses less digits than its factorization.

1313343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3523 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 1313343424 is about 36240.0803531118. The cubic root of 1313343424 is about 1095.1142612013.

Adding to 1313343424 its reverse (4243433131), we get a palindrome (5556776555).

The spelling of 1313343424 in words is "one billion, three hundred thirteen million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 277 368 554 736 1108 1472 2216 3221 4432 6371 6442 8864 12742 12884 17728 25484 25768 50968 51536 74083 101936 103072 148166 203872 206144 296332 407744 592664 892217 1185328 1784434 2370656 3568868 4741312 7137736 14275472 20520991 28550944 41041982 57101888 82083964 164167928 328335856 656671712 1313343424