Base | Representation |
---|---|
bin | 1100011101111011… |
… | …0100011010101000 |
3 | 22122020111021001112 |
4 | 3013132310122220 |
5 | 23323231320000 |
6 | 1312032205452 |
7 | 145635602024 |
oct | 30736643250 |
9 | 8566437045 |
10 | 3346745000 |
11 | 1468172065 |
12 | 794999888 |
13 | 41449acb1 |
14 | 23a6a7384 |
15 | 148c38235 |
hex | c77b46a8 |
3346745000 has 80 divisors (see below), whose sum is σ = 8112168900. Its totient is φ = 1292480000.
The previous prime is 3346744957. The next prime is 3346745009. The reversal of 3346745000 is 5476433.
It can be written as a sum of positive squares in 10 ways, for example, as 251603044 + 3095141956 = 15862^2 + 55634^2 .
It is a super-3 number, since 3×33467450003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (3346745009) 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 19 ways as a sum of consecutive naturals, for example, 133460 + ... + 156540.
Almost surely, 23346745000 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 3346745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056084450).
3346745000 is an abundant number, since it is smaller than the sum of its proper divisors (4765423900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3346745000 is a wasteful number, since it uses less digits than its factorization.
3346745000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23136 (or 23117 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 32.
The square root of 3346745000 is about 57851.0587629993. The cubic root of 3346745000 is about 1495.8023381216.
The spelling of 3346745000 in words is "three billion, three hundred forty-six million, seven hundred forty-five thousand".
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