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1030311424 = 299672081
BaseRepresentation
bin111101011010010…
…100111000000000
32122210201020120101
4331122110320000
54102224431144
6250123052144
734350334252
oct7532247000
92583636511
101030311424
1148964724a
12249071054
131355c0b3c
149ab9bcd2
15606bc6d4
hex3d694e00

1030311424 has 40 divisors (see below), whose sum is σ = 2061729648. Its totient is φ = 514375680.

The previous prime is 1030311419. The next prime is 1030311439. The reversal of 1030311424 is 4241130301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494064 + ... + 496144.

Almost surely, 21030311424 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 1030311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030864824).

1030311424 is an abundant number, since it is smaller than the sum of its proper divisors (1031418224).

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

1030311424 is an frugal number, since it uses more digits than its factorization.

1030311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1030311424 is about 32098.4645115619. The cubic root of 1030311424 is about 1010.0034061905.

Adding to 1030311424 its reverse (4241130301), we get a palindrome (5271441725).

The spelling of 1030311424 in words is "one billion, thirty million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 967 1934 2081 3868 4162 7736 8324 15472 16648 30944 33296 61888 66592 123776 133184 247552 266368 495104 532736 1065472 2012327 4024654 8049308 16098616 32197232 64394464 128788928 257577856 515155712 1030311424