Search a number
-
+
3465440768 = 2910365713
BaseRepresentation
bin1100111010001110…
…0110111000000000
322221111211122001002
43032203212320000
524044123101033
61331512231132
7151606521566
oct31643467000
98844748032
103465440768
111519172a39
1280869b4a8
13432c5938a
1424c363a36
151543823e8
hexce8e6e00

3465440768 has 40 divisors (see below), whose sum is σ = 6991443888. Its totient is φ = 1715871744.

The previous prime is 3465440717. The next prime is 3465440851. The reversal of 3465440768 is 8670445643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19880 + ... + 85592.

Almost surely, 23465440768 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 3465440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495721944).

3465440768 is an abundant number, since it is smaller than the sum of its proper divisors (3526003120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3465440768 is an equidigital number, since it uses as much as digits as its factorization.

3465440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65834 (or 65818 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The square root of 3465440768 is about 58867.9944282120. The cubic root of 3465440768 is about 1513.2807006003.

The spelling of 3465440768 in words is "three billion, four hundred sixty-five million, four hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1648 3296 6592 13184 26368 52736 65713 131426 262852 525704 1051408 2102816 4205632 6768439 8411264 13536878 16822528 27073756 33645056 54147512 108295024 216590048 433180096 866360192 1732720384 3465440768