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3243223424 = 27726313763
BaseRepresentation
bin1100000101001111…
…1010100110000000
322101000200211011002
43001103322212000
523120231122144
61253453311132
7143240641610
oct30123724600
98330624132
103243223424
111414795841
127661954a8
133c8bc361c
1422aa3aa40
1513eada14e
hexc14fa980

3243223424 has 64 divisors (see below), whose sum is σ = 7412739840. Its totient is φ = 1384567296.

The previous prime is 3243223409. The next prime is 3243223429. The reversal of 3243223424 is 4243223423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243223429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 228767 + ... + 242529.

It is an arithmetic number, because the mean of its divisors is an integer number (115824060).

Almost surely, 23243223424 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 3243223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706369920).

3243223424 is an abundant number, since it is smaller than the sum of its proper divisors (4169516416).

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

3243223424 is a wasteful number, since it uses less digits than its factorization.

3243223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14035 counting only the distinct ones).

The product of its digits is 27648, while the sum is 29.

The square root of 3243223424 is about 56949.3057376471. The cubic root of 3243223424 is about 1480.2178009143.

Adding to 3243223424 its reverse (4243223423), we get a palindrome (7486446847).

Subtracting 3243223424 from its reverse (4243223423), we obtain a palindrome (999999999).

The spelling of 3243223424 in words is "three billion, two hundred forty-three million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 263 448 526 896 1052 1841 2104 3682 4208 7364 8416 13763 14728 16832 27526 29456 33664 55052 58912 96341 110104 117824 192682 220208 235648 385364 440416 770728 880832 1541456 1761664 3082912 3619669 6165824 7239338 12331648 14478676 25337683 28957352 50675366 57914704 101350732 115829408 202701464 231658816 405402928 463317632 810805856 1621611712 3243223424