Base | Representation |
---|---|
bin | 1100011000101111… |
… | …1011010000000000 |
3 | 22120201121021011012 |
4 | 3012023323100000 |
5 | 23302200440130 |
6 | 1305534340052 |
7 | 145253106254 |
oct | 30613732000 |
9 | 8521537135 |
10 | 3325015040 |
11 | 1456980016 |
12 | 78965a628 |
13 | 40cb30329 |
14 | 23784c264 |
15 | 146d94995 |
hex | c62fb400 |
3325015040 has 88 divisors (see below), whose sum is σ = 8445545352. Its totient is φ = 1251737600.
The previous prime is 3325015003. The next prime is 3325015061. The reversal of 3325015040 is 405105233.
It can be written as a sum of positive squares in 4 ways, for example, as 533794816 + 2791220224 = 23104^2 + 52832^2 .
It is a super-2 number, since 2×33250150402 = 22111450032452403200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 3325014997 and 3325015015.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67940 + ... + 106140.
Almost surely, 23325015040 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3325015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222772676).
3325015040 is an abundant number, since it is smaller than the sum of its proper divisors (5120530312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3325015040 is a wasteful number, since it uses less digits than its factorization.
3325015040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38243 (or 38225 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 23.
The square root of 3325015040 is about 57662.9433865459. The cubic root of 3325015040 is about 1492.5579591550.
The spelling of 3325015040 in words is "three billion, three hundred twenty-five million, fifteen thousand, forty".
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