Search a number
-
+
304323113224 = 231329463921751
BaseRepresentation
bin1000110110110110001…
…00100011000100001000
31002002111210121221012201
410123123010203010020
514441223204110344
6351445404245544
730662260532104
oct4333304430410
91062453557181
10304323113224
11108076511249
124ab912408b4
132290b681580
1410a2d364904
157db1eab4d4
hex46db123108

304323113224 has 64 divisors (see below), whose sum is σ = 635854464000. Its totient is φ = 135578016000.

The previous prime is 304323113209. The next prime is 304323113233. The reversal of 304323113224 is 422311323403.

It is a happy number.

It is a super-2 number, since 2×3043231132242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304323113192 and 304323113201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13980349 + ... + 14002099.

It is an arithmetic number, because the mean of its divisors is an integer number (9935226000).

Almost surely, 2304323113224 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 304323113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317927232000).

304323113224 is an abundant number, since it is smaller than the sum of its proper divisors (331531350776).

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

304323113224 is a wasteful number, since it uses less digits than its factorization.

304323113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26438 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 304323113224 its reverse (422311323403), we get a palindrome (726634436627).

The spelling of 304323113224 in words is "three hundred four billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 4639 9278 18556 21751 37112 43502 60307 87004 120614 134531 174008 241228 269062 282763 482456 538124 565526 630779 1076248 1131052 1261558 1748903 2262104 2523116 3497806 5046232 6995612 8200127 13991224 16400254 32800508 65601016 100902889 201805778 403611556 807223112 1311737557 2623475114 2926183781 5246950228 5852367562 10493900456 11704735124 23409470248 38040389153 76080778306 152161556612 304323113224