Base | Representation |
---|---|
bin | 1011111010111100… |
… | …1100010110100000 |
3 | 22021000102222220220 |
4 | 2332233030112200 |
5 | 23023202324100 |
6 | 1245312003040 |
7 | 142204624452 |
oct | 27657142640 |
9 | 8230388826 |
10 | 3200042400 |
11 | 13a2382245 |
12 | 753830480 |
13 | 3bcc84c19 |
14 | 224dda2d2 |
15 | 13ae0aaa0 |
hex | bebcc5a0 |
3200042400 has 144 divisors (see below), whose sum is σ = 10434582144. Its totient is φ = 851834880.
The previous prime is 3200042389. The next prime is 3200042401. The reversal of 3200042400 is 42400023.
It is a happy number.
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 3200042400.
It is not an unprimeable number, because it can be changed into a prime (3200042401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248089 + ... + 2249511.
It is an arithmetic number, because the mean of its divisors is an integer number (72462376).
Almost surely, 23200042400 is an apocalyptic number.
3200042400 is a gapful number since it is divisible by the number (30) 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 3200042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217291072).
3200042400 is an abundant number, since it is smaller than the sum of its proper divisors (7234539744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3200042400 is a wasteful number, since it uses less digits than its factorization.
3200042400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 3200042400 is about 56568.9172602764. The cubic root of 3200042400 is about 1473.6191078831.
Adding to 3200042400 its reverse (42400023), we get a palindrome (3242442423).
The spelling of 3200042400 in words is "three billion, two hundred million, forty-two thousand, four hundred".
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