Base | Representation |
---|---|
bin | 1100010110011100… |
… | …0111000000000000 |
3 | 22120001102221012100 |
4 | 3011213013000000 |
5 | 23242213120330 |
6 | 1304551430400 |
7 | 145105061535 |
oct | 30547070000 |
9 | 8501387170 |
10 | 3315363840 |
11 | 1451488a18 |
12 | 786385400 |
13 | 40ab31469 |
14 | 236458d8c |
15 | 1460da060 |
hex | c59c7000 |
3315363840 has 156 divisors (see below), whose sum is σ = 11492497224. Its totient is φ = 884047872.
The previous prime is 3315363833. The next prime is 3315363841. The reversal of 3315363840 is 483635133.
3315363840 is a `hidden beast` number, since 3 + 3 + 15 + 3 + 638 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3315363795 and 3315363804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3315363841) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 175327 + ... + 193313.
It is an arithmetic number, because the mean of its divisors is an integer number (73669854).
Almost surely, 23315363840 is an apocalyptic number.
3315363840 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 3315363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746248612).
3315363840 is an abundant number, since it is smaller than the sum of its proper divisors (8177133384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3315363840 is a wasteful number, since it uses less digits than its factorization.
3315363840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18022 (or 17997 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The square root of 3315363840 is about 57579.1962430877. The cubic root of 3315363840 is about 1491.1124584048.
Adding to 3315363840 its reverse (483635133), we get a palindrome (3798998973).
The spelling of 3315363840 in words is "three billion, three hundred fifteen million, three hundred sixty-three thousand, eight hundred forty".
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