Base | Representation |
---|---|
bin | 1011100011010010001… |
… | …01010110000100000000 |
3 | 1101221110122101001110000 |
4 | 11301221011112010000 |
5 | 23000322400000000 |
6 | 502200000240000 |
7 | 40450360223100 |
oct | 5615105260400 |
9 | 1357418331400 |
10 | 396900000000 |
11 | 143362780529 |
12 | 64b09010000 |
13 | 2b57331330a |
14 | 152d25a9200 |
15 | a4ce6a0000 |
hex | 5c69156100 |
396900000000 has 1215 divisors, whose sum is σ = 1720881443127. Its totient is φ = 90720000000.
The previous prime is 396899999987. The next prime is 396900000011. The reversal of 396900000000 is 9693.
The square root of 396900000000 is 630000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 282190438656 + 114709561344 = 531216^2 + 338688^2 .
It is a super-2 number, since 2×3969000000002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 396900000000.
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56699999997 + ... + 56700000003.
Almost surely, 2396900000000 is an apocalyptic number.
396900000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
396900000000 is the 630000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 396900000000
396900000000 is an abundant number, since it is smaller than the sum of its proper divisors (1323981443127).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
396900000000 is an frugal number, since it uses more digits than its factorization.
396900000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 82 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 1458, while the sum is 27.
Adding to 396900000000 its reverse (9693), we get a palindrome (396900009693).
The spelling of 396900000000 in words is "three hundred ninety-six billion, nine hundred million", and thus it is an aban number.
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