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2305344030 = 235112798039
BaseRepresentation
bin1000100101101000…
…1100001000011110
312221122220121111020
42021122030020132
514210132002110
61020431305010
7111062046423
oct21132141036
95848817436
102305344030
11a83341100
1254407b166
132a97c66c2
1417c25dd4a
15d75c9d70
hex8968c21e

2305344030 has 96 divisors (see below), whose sum is σ = 6159283200. Its totient is φ = 551728320.

The previous prime is 2305343977. The next prime is 2305344053. The reversal of 2305344030 is 304435032.

It is a super-2 number, since 2×23053440302 = 10629222193313281800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 282751 + ... + 290789.

It is an arithmetic number, because the mean of its divisors is an integer number (64159200).

Almost surely, 22305344030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079641600).

2305344030 is an abundant number, since it is smaller than the sum of its proper divisors (3853939170).

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

2305344030 is a wasteful number, since it uses less digits than its factorization.

2305344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2305344030 is about 48013.9982713375. The cubic root of 2305344030 is about 1321.0276719316.

Adding to 2305344030 its reverse (304435032), we get a palindrome (2609779062).

The spelling of 2305344030 in words is "two billion, three hundred five million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 121 158 165 237 242 330 363 395 474 605 726 790 869 1185 1210 1738 1815 2370 2607 3630 4345 5214 8039 8690 9559 13035 16078 19118 24117 26070 28677 40195 47795 48234 57354 80390 88429 95590 120585 143385 176858 241170 265287 286770 442145 530574 635081 884290 972719 1270162 1326435 1905243 1945438 2652870 2918157 3175405 3810486 4863595 5836314 6350810 6985891 9526215 9727190 13971782 14590785 19052430 20957673 29181570 34929455 41915346 69858910 76844801 104788365 153689602 209576730 230534403 384224005 461068806 768448010 1152672015 2305344030