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3031144400 = 24527577861
BaseRepresentation
bin1011010010101011…
…1001011111010000
321211020122002102102
42310222321133100
522201433110100
61220435535532
7135054205454
oct26452713720
97736562372
103031144400
111316002719
1270715a5a8
13393c9a38b
1420a7d2664
1512b196cd5
hexb4ab97d0

3031144400 has 30 divisors (see below), whose sum is σ = 7282325382. Its totient is φ = 1212457600.

The previous prime is 3031144397. The next prime is 3031144429. The reversal of 3031144400 is 44411303.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 662959504 + 2368184896 = 25748^2 + 48664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3788531 + ... + 3789330.

Almost surely, 23031144400 is an apocalyptic number.

It is an amenable number.

3031144400 is an abundant number, since it is smaller than the sum of its proper divisors (4251180982).

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

3031144400 is a wasteful number, since it uses less digits than its factorization.

3031144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577879 (or 7577868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3031144400 is about 55055.8298457121. The cubic root of 3031144400 is about 1447.2232869314.

Adding to 3031144400 its reverse (44411303), we get a palindrome (3075555703).

The spelling of 3031144400 in words is "three billion, thirty-one million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7577861 15155722 30311444 37889305 60622888 75778610 121245776 151557220 189446525 303114440 378893050 606228880 757786100 1515572200 3031144400