Search a number
-
+
3001001320 = 235281266993
BaseRepresentation
bin1011001011011111…
…1010010101101000
321202010220122220001
42302313322111220
522121224020240
61213441512344
7134240042662
oct26267722550
97663818801
103001001320
1112aaa94789
126b90426b4
1338a975235
142067c7532
151286e089a
hexb2dfa568

3001001320 has 32 divisors (see below), whose sum is σ = 6776307720. Its totient is φ = 1196124160.

The previous prime is 3001001281. The next prime is 3001001321. The reversal of 3001001320 is 231001003.

It can be written as a sum of positive squares in 4 ways, for example, as 2555706916 + 445294404 = 50554^2 + 21102^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3001001297 and 3001001306.

It is not an unprimeable number, because it can be changed into a prime (3001001321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122257 + ... + 144736.

Almost surely, 23001001320 is an apocalyptic number.

It is an amenable number.

3001001320 is an abundant number, since it is smaller than the sum of its proper divisors (3775306400).

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

3001001320 is a wasteful number, since it uses less digits than its factorization.

3001001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267285 (or 267281 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3001001320 is about 54781.3957470965. The cubic root of 3001001320 is about 1442.4100139403.

Adding to 3001001320 its reverse (231001003), we get a palindrome (3232002323).

The spelling of 3001001320 in words is "three billion, one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2248 2810 5620 11240 266993 533986 1067972 1334965 2135944 2669930 5339860 10679720 75025033 150050066 300100132 375125165 600200264 750250330 1500500660 3001001320