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3000001000 = 23538533517
BaseRepresentation
bin1011001011010000…
…0110000111101000
321202002000211201011
42302310012013220
522121000013000
61213404233304
7134225405413
oct26264060750
97662024634
103000001000
1112aa471177
126b883b834
1338a6b4b29
14206606b7a
151285942ba
hexb2d061e8

3000001000 has 64 divisors (see below), whose sum is σ = 7030230480. Its totient is φ = 1198252800.

The previous prime is 3000000973. The next prime is 3000001003. The reversal of 3000001000 is 1000003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 118243876 + 2881757124 = 10874^2 + 53682^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3000001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851242 + ... + 854758.

Almost surely, 23000001000 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 3000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515115240).

3000001000 is an abundant number, since it is smaller than the sum of its proper divisors (4030229480).

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

3000001000 is a wasteful number, since it uses less digits than its factorization.

3000001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4377 counting only the distinct ones).

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

The square root of 3000001000 is about 54772.2648792251. The cubic root of 3000001000 is about 1442.2497305573.

Adding to 3000001000 its reverse (1000003), we get a palindrome (3001001003).

The spelling of 3000001000 in words is "three billion, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 853 1000 1706 3412 3517 4265 6824 7034 8530 14068 17060 17585 21325 28136 34120 35170 42650 70340 85300 87925 106625 140680 170600 175850 213250 351700 426500 439625 703400 853000 879250 1758500 3000001 3517000 6000002 12000004 15000005 24000008 30000010 60000020 75000025 120000040 150000050 300000100 375000125 600000200 750000250 1500000500 3000001000