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6304055880 = 233513922719
BaseRepresentation
bin1011101111100000…
…00100001001001000
3121021100012012221010
411313300010021020
5100402314242010
62521313443520
7312135406443
oct56760041110
917240165833
106304055880
112745525541
12127b2705a0
137960869a5
1443b35a65a
1526d698620
hex177c04248

6304055880 has 96 divisors (see below), whose sum is σ = 19056211200. Its totient is φ = 1668373632.

The previous prime is 6304055867. The next prime is 6304055911. The reversal of 6304055880 is 885504036.

It is a happy number.

It is a super-2 number, since 2×63040558802 = 79482241076325148800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2317161 + ... + 2319879.

It is an arithmetic number, because the mean of its divisors is an integer number (198502200).

Almost surely, 26304055880 is an apocalyptic number.

6304055880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6304055880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528105600).

6304055880 is an abundant number, since it is smaller than the sum of its proper divisors (12752155320).

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

6304055880 is a wasteful number, since it uses less digits than its factorization.

6304055880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 6304055880 is about 79398.0848635532. The cubic root of 6304055880 is about 1847.3110074667.

The spelling of 6304055880 in words is "six billion, three hundred four million, fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2719 2780 3336 4170 5438 5560 8157 8340 10876 13595 16314 16680 19321 21752 27190 32628 38642 40785 54380 57963 65256 77284 81570 96605 108760 115926 154568 163140 193210 231852 289815 326280 377941 386420 463704 579630 755882 772840 1133823 1159260 1511764 1889705 2267646 2318520 3023528 3779410 4535292 5669115 7558820 9070584 11338230 15117640 22676460 45352920 52533799 105067598 157601397 210135196 262668995 315202794 420270392 525337990 630405588 788006985 1050675980 1260811176 1576013970 2101351960 3152027940 6304055880