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3000211424 = 257127263401
BaseRepresentation
bin1011001011010011…
…1001011111100000
321202002102112100122
42302310321133200
522121023231144
61213412535412
7134230243040
oct26264713740
97662375318
103000211424
1112aa5a5281
126b8921568
1338a759842
1420665d720
151285d67ee
hexb2d397e0

3000211424 has 96 divisors (see below), whose sum is σ = 6846529536. Its totient is φ = 1267660800.

The previous prime is 3000211411. The next prime is 3000211447. The reversal of 3000211424 is 4241120003.

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 15 ways as a sum of consecutive naturals, for example, 7481624 + ... + 7482024.

It is an arithmetic number, because the mean of its divisors is an integer number (71318016).

Almost surely, 23000211424 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 3000211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423264768).

3000211424 is an abundant number, since it is smaller than the sum of its proper divisors (3846318112).

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

3000211424 is a wasteful number, since it uses less digits than its factorization.

3000211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3000211424 is about 54774.1857447466. The cubic root of 3000211424 is about 1442.2834501974.

Adding to 3000211424 its reverse (4241120003), we get a palindrome (7241331427).

The spelling of 3000211424 in words is "three billion, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 263 401 508 526 802 889 1016 1052 1604 1778 1841 2032 2104 2807 3208 3556 3682 4064 4208 5614 6416 7112 7364 8416 11228 12832 14224 14728 22456 28448 29456 33401 44912 50927 58912 66802 89824 101854 105463 133604 203708 210926 233807 267208 356489 407416 421852 467614 534416 712978 738241 814832 843704 935228 1068832 1425956 1476482 1629664 1687408 1870456 2851912 2952964 3374816 3740912 5703824 5905928 7481824 11407648 11811856 13393801 23623712 26787602 53575204 93756607 107150408 187513214 214300816 375026428 428601632 750052856 1500105712 3000211424