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2413344330 = 2325293892377
BaseRepresentation
bin1000111111011000…
…1011011001001010
320020012010121001100
42033312023121022
514420304004310
61035250202230
7113543042205
oct21766133112
96205117040
102413344330
1110292a7351
12574283376
132c5cab7c7
1418c73493c
15e1d0eec0
hex8fd8b64a

2413344330 has 96 divisors (see below), whose sum is σ = 6510488400. Its totient is φ = 619508736.

The previous prime is 2413344247. The next prime is 2413344331. The reversal of 2413344330 is 334433142.

It can be written as a sum of positive squares in 8 ways, for example, as 627352209 + 1785992121 = 25047^2 + 42261^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2413344294 and 2413344303.

It is not an unprimeable number, because it can be changed into a prime (2413344331) 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 47 ways as a sum of consecutive naturals, for example, 1014102 + ... + 1016478.

Almost surely, 22413344330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255244200).

2413344330 is an abundant number, since it is smaller than the sum of its proper divisors (4097144070).

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

2413344330 is a wasteful number, since it uses less digits than its factorization.

2413344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2413344330 is about 49125.8010621710. The cubic root of 2413344330 is about 1341.3427414609.

Adding to 2413344330 its reverse (334433142), we get a palindrome (2747777472).

The spelling of 2413344330 in words is "two billion, four hundred thirteen million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 389 435 522 778 870 1167 1305 1945 2334 2377 2610 3501 3890 4754 5835 7002 7131 11281 11670 11885 14262 17505 21393 22562 23770 33843 35010 35655 42786 56405 67686 68933 71310 101529 106965 112810 137866 169215 203058 206799 213930 338430 344665 413598 507645 620397 689330 924653 1015290 1033995 1240794 1849306 2067990 2773959 3101985 4623265 5547918 6203970 8321877 9246530 13869795 16643754 26814937 27739590 41609385 53629874 80444811 83218770 134074685 160889622 241334433 268149370 402224055 482668866 804448110 1206672165 2413344330