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304323104040 = 2335101157159931
BaseRepresentation
bin1000110110110110001…
…00100000110100101000
31002002111210121110121120
410123123010200310220
514441223203312130
6351445404135240
730662260463244
oct4333304406450
91062453543546
10304323104040
1110807650535a
124ab91237520
132290b67a337
1410a2d361424
157db1ea8910
hex46db120d28

304323104040 has 128 divisors (see below), whose sum is σ = 927887080320. Its totient is φ = 79837056000.

The previous prime is 304323104017. The next prime is 304323104069. The reversal of 304323104040 is 40401323403.

It is a super-2 number, since 2×3043231040402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 304323104040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822875 + ... + 1982805.

It is an arithmetic number, because the mean of its divisors is an integer number (7249117815).

Almost surely, 2304323104040 is an apocalyptic number.

304323104040 is a gapful number since it is divisible by the number (30) 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 304323104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463943540160).

304323104040 is an abundant number, since it is smaller than the sum of its proper divisors (623563976280).

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

304323104040 is a wasteful number, since it uses less digits than its factorization.

304323104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160203 (or 160199 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 304323104040 its reverse (40401323403), we get a palindrome (344724427443).

The spelling of 304323104040 in words is "three hundred four billion, three hundred twenty-three million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 157 202 303 314 404 471 505 606 628 785 808 942 1010 1212 1256 1515 1570 1884 2020 2355 2424 3030 3140 3768 4040 4710 6060 6280 9420 12120 15857 18840 31714 47571 63428 79285 95142 126856 158570 159931 190284 237855 317140 319862 380568 475710 479793 634280 639724 799655 951420 959586 1279448 1599310 1902840 1919172 2398965 3198620 3838344 4797930 6397240 9595860 16153031 19191720 25109167 32306062 48459093 50218334 64612124 75327501 80765155 96918186 100436668 125545835 129224248 150655002 161530310 193836372 200873336 242295465 251091670 301310004 323060620 376637505 387672744 484590930 502183340 602620008 646121240 753275010 969181860 1004366680 1506550020 1938363720 2536025867 3013100040 5072051734 7608077601 10144103468 12680129335 15216155202 20288206936 25360258670 30432310404 38040388005 50720517340 60864620808 76080776010 101441034680 152161552020 304323104040