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234423460304 = 241117193405959
BaseRepresentation
bin1101101001010010111…
…0100010000111010000
3211102002101002122122122
43122110232202013100
512320044401212204
6255405340153412
722636142351405
oct3322456420720
9742071078578
10234423460304
1190466a28450
1239523b38868
131914bc6c6b7
14b4bbbd02ac
1561705bd0be
hex3694ba21d0

234423460304 has 80 divisors (see below), whose sum is σ = 527351783040. Its totient is φ = 99768238080.

The previous prime is 234423460301. The next prime is 234423460307. The reversal of 234423460304 is 403064324432.

It is an interprime number because it is at equal distance from previous prime (234423460301) and next prime (234423460307).

It is a super-3 number, since 3×2344234603043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234423460301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 374477 + ... + 780435.

It is an arithmetic number, because the mean of its divisors is an integer number (6591897288).

Almost surely, 2234423460304 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 234423460304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263675891520).

234423460304 is an abundant number, since it is smaller than the sum of its proper divisors (292928322736).

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

234423460304 is a wasteful number, since it uses less digits than its factorization.

234423460304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406188 (or 406182 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 234423460304 its reverse (403064324432), we get a palindrome (637487784736).

The spelling of 234423460304 in words is "two hundred thirty-four billion, four hundred twenty-three million, four hundred sixty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 193 272 374 386 748 772 1496 1544 2123 2992 3088 3281 4246 6562 8492 13124 16984 26248 33968 36091 52496 72182 144364 288728 405959 577456 811918 1623836 3247672 4465549 6495344 6901303 8931098 13802606 17862196 27605212 35724392 55210424 71448784 75914333 78350087 110420848 151828666 156700174 303657332 313400348 607314664 626800696 861850957 1214629328 1253601392 1331951479 1723701914 2663902958 3447403828 5327805916 6894807656 10655611832 13789615312 14651466269 21311223664 29302932538 58605865076 117211730152 234423460304