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1343343000 = 233531972273
BaseRepresentation
bin101000000010001…
…1100100110011000
310110121201220011110
41100010130212120
510222343434000
6341144300320
745201140616
oct12004344630
93417656143
101343343000
1162a31152a
12315a716a0
1318540231c
14ca5a46b6
157ce02850
hex5011c998

1343343000 has 128 divisors (see below), whose sum is σ = 4214358720. Its totient is φ = 356249600.

The previous prime is 1343342999. The next prime is 1343343019. The reversal of 1343343000 is 3433431.

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 31 ways as a sum of consecutive naturals, for example, 589864 + ... + 592136.

Almost surely, 21343343000 is an apocalyptic number.

1343343000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107179360).

1343343000 is an abundant number, since it is smaller than the sum of its proper divisors (2871015720).

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

1343343000 is a wasteful number, since it uses less digits than its factorization.

1343343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 1343343000 is about 36651.6438921912. The cubic root of 1343343000 is about 1103.3898185065.

Adding to 1343343000 its reverse (3433431), we get a palindrome (1346776431).

The spelling of 1343343000 in words is "one billion, three hundred forty-three million, three hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 197 200 250 300 375 394 500 591 600 750 788 985 1000 1182 1500 1576 1970 2273 2364 2955 3000 3940 4546 4728 4925 5910 6819 7880 9092 9850 11365 11820 13638 14775 18184 19700 22730 23640 24625 27276 29550 34095 39400 45460 49250 54552 56825 59100 68190 73875 90920 98500 113650 118200 136380 147750 170475 197000 227300 272760 284125 295500 340950 447781 454600 568250 591000 681900 852375 895562 1136500 1343343 1363800 1704750 1791124 2238905 2273000 2686686 3409500 3582248 4477810 5373372 6716715 6819000 8955620 10746744 11194525 13433430 17911240 22389050 26866860 33583575 44778100 53733720 55972625 67167150 89556200 111945250 134334300 167917875 223890500 268668600 335835750 447781000 671671500 1343343000