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3304231424 = 29133713417
BaseRepresentation
bin1100010011110010…
…1001001000000000
322112021111100101122
43010330221020000
523231340401144
61303513051412
7144611334524
oct30474511000
98467440348
103304231424
111446174a7a
127826b6b68
13408734330
14234b9bd84
1514513b7ee
hexc4f29200

3304231424 has 80 divisors (see below), whose sum is σ = 7302558648. Its totient is φ = 1483702272.

The previous prime is 3304231421. The next prime is 3304231433. The reversal of 3304231424 is 4241324033.

It can be written as a sum of positive squares in 4 ways, for example, as 2745760000 + 558471424 = 52400^2 + 23632^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3304231393 and 3304231402.

It is not an unprimeable number, because it can be changed into a prime (3304231421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239564 + ... + 252980.

Almost surely, 23304231424 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 3304231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651279324).

3304231424 is an abundant number, since it is smaller than the sum of its proper divisors (3998327224).

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

3304231424 is a wasteful number, since it uses less digits than its factorization.

3304231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3304231424 is about 57482.4444852513. Note that the first 4 decimals coincide. The cubic root of 3304231424 is about 1489.4416213215.

Adding to 3304231424 its reverse (4241324033), we get a palindrome (7545555457).

The spelling of 3304231424 in words is "three billion, three hundred four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1184 1664 1924 2368 3328 3848 4736 6656 7696 9472 13417 15392 18944 26834 30784 53668 61568 107336 123136 174421 214672 246272 348842 429344 496429 697684 858688 992858 1395368 1717376 1985716 2790736 3434752 3971432 5581472 6453577 6869504 7942864 11162944 12907154 15885728 22325888 25814308 31771456 44651776 51628616 63542912 89303552 103257232 127085824 206514464 254171648 413028928 826057856 1652115712 3304231424