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3001000000 = 26563001
BaseRepresentation
bin1011001011011111…
…1010000001000000
321202010220121002011
42302313322001000
522121224000000
61213441502304
7134240036065
oct26267720100
97663817064
103001000000
1112aaa93799
126b9041994
1338a97475b
142067c6c6c
151286e02ba
hexb2dfa040

3001000000 has 98 divisors (see below), whose sum is σ = 7446271874. Its totient is φ = 1200000000.

The previous prime is 3000999979. The next prime is 3001000001. The reversal of 3001000000 is 1003.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 3000410176 + 589824 = 54776^2 + 768^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998500 + ... + 1001500.

Almost surely, 23001000000 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 3001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723135937).

3001000000 is an abundant number, since it is smaller than the sum of its proper divisors (4445271874).

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

3001000000 is an frugal number, since it uses more digits than its factorization.

3001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 3001000000 is about 54781.3836992094. The cubic root of 3001000000 is about 1442.4098024574.

Adding to 3001000000 its reverse (1003), we get a palindrome (3001001003).

The spelling of 3001000000 in words is "three billion, one million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3001 3125 4000 5000 6002 6250 8000 10000 12004 12500 15005 15625 20000 24008 25000 30010 31250 40000 48016 50000 60020 62500 75025 96032 100000 120040 125000 150050 192064 200000 240080 250000 300100 375125 480160 500000 600200 750250 960320 1000000 1200400 1500500 1875625 2400800 3001000 3751250 4801600 6002000 7502500 9378125 12004000 15005000 18756250 24008000 30010000 37512500 46890625 60020000 75025000 93781250 120040000 150050000 187562500 300100000 375125000 600200000 750250000 1500500000 3001000000