Base | Representation |
---|---|
bin | 100111101101010… |
… | …1100111110000000 |
3 | 10102212010221012011 |
4 | 1033122230332000 |
5 | 10212043300000 |
6 | 340113542304 |
7 | 45006133051 |
oct | 11732547600 |
9 | 3385127164 |
10 | 1332400000 |
11 | 624117928 |
12 | 312274994 |
13 | 183070489 |
14 | c8d56728 |
15 | 7be902ba |
hex | 4f6acf80 |
1332400000 has 96 divisors (see below), whose sum is σ = 3318771960. Its totient is φ = 532800000.
The previous prime is 1332399967. The next prime is 1332400031. The reversal of 1332400000 is 42331.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398335 + ... + 401665.
Almost surely, 21332400000 is an apocalyptic number.
1332400000 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 1332400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659385980).
1332400000 is an abundant number, since it is smaller than the sum of its proper divisors (1986371960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332400000 is an frugal number, since it uses more digits than its factorization.
1332400000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3370 (or 3338 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 1332400000 is about 36502.0547366857. The cubic root of 1332400000 is about 1100.3855397872.
Adding to 1332400000 its reverse (42331), we get a palindrome (1332442331).
The spelling of 1332400000 in words is "one billion, three hundred thirty-two million, four hundred thousand".
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