| Base | Representation |
|---|---|
| bin | 101000000001100… |
| … | …1000111101010000 |
| 3 | 10110121002111012120 |
| 4 | 1100003020331100 |
| 5 | 10222302003100 |
| 6 | 341133054240 |
| 7 | 45165213030 |
| oct | 12003107520 |
| 9 | 3417074176 |
| 10 | 1343000400 |
| 11 | 62a0a8095 |
| 12 | 315927380 |
| 13 | 1853123c1 |
| 14 | ca5158c0 |
| 15 | 7cd860a0 |
| hex | 500c8f50 |
1343000400 has 240 divisors, whose sum is σ = 4999168128. Its totient is φ = 301824000.
The previous prime is 1343000371. The next prime is 1343000423. The reversal of 1343000400 is 40003431.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×13430004003 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1343000400.
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 47 ways as a sum of consecutive naturals, for example, 511090 + ... + 513710.
Almost surely, 21343000400 is an apocalyptic number.
1343000400 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 1343000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499584064).
1343000400 is an abundant number, since it is smaller than the sum of its proper divisors (3656167728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1343000400 is a wasteful number, since it uses less digits than its factorization.
1343000400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 1343000400 is about 36646.9698610949. The cubic root of 1343000400 is about 1103.2960093819.
Adding to 1343000400 its reverse (40003431), we get a palindrome (1383003831).
The spelling of 1343000400 in words is "one billion, three hundred forty-three million, four hundred", and thus it is an aban number.
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