Search a number
-
+
304513242240 = 2735158600647
BaseRepresentation
bin1000110111001100110…
…01110101010010000000
31002010000001101111012010
410123212121311102000
514442120342222430
6351520315332520
731000056565104
oct4334631652200
91063001344163
10304513242240
11108163871a69
124b024a51140
132293bb9094c
1410a4a6d7904
157dc3a15cb0
hex46e6675480

304513242240 has 64 divisors (see below), whose sum is σ = 970635965760. Its totient is φ = 81203530752.

The previous prime is 304513242217. The next prime is 304513242259. The reversal of 304513242240 is 42242315403.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304513242198 and 304513242207.

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 7 ways as a sum of consecutive naturals, for example, 79298404 + ... + 79302243.

It is an arithmetic number, because the mean of its divisors is an integer number (15166186965).

Almost surely, 2304513242240 is an apocalyptic number.

304513242240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304513242240 is an abundant number, since it is smaller than the sum of its proper divisors (666122723520).

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

304513242240 is a wasteful number, since it uses less digits than its factorization.

304513242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158600669 (or 158600657 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 304513242240 its reverse (42242315403), we get a palindrome (346755557643).

The spelling of 304513242240 in words is "three hundred four billion, five hundred thirteen million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 158600647 317201294 475801941 634402588 793003235 951603882 1268805176 1586006470 1903207764 2379009705 2537610352 3172012940 3806415528 4758019410 5075220704 6344025880 7612831056 9516038820 10150441408 12688051760 15225662112 19032077640 20300882816 25376103520 30451324224 38064155280 50752207040 60902648448 76128310560 101504414080 152256621120 304513242240