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3444405030 = 23251122915193
BaseRepresentation
bin1100110101001101…
…0111001100100110
322220001020220102200
43031103113030212
524023231430110
61325441315330
7151232650113
oct31523271446
98801226380
103444405030
111508305530
12801635b46
1342b7a26b1
1424964990a
151525c96c0
hexcd4d7326

3444405030 has 96 divisors (see below), whose sum is σ = 9812892960. Its totient is φ = 831306240.

The previous prime is 3444404993. The next prime is 3444405031. The reversal of 3444405030 is 305044443.

It is a junction number, because it is equal to n+sod(n) for n = 3444404985 and 3444405003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444405031) 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, 219114 + ... + 234306.

It is an arithmetic number, because the mean of its divisors is an integer number (102217635).

Almost surely, 23444405030 is an apocalyptic number.

3444405030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444405030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906446480).

3444405030 is an abundant number, since it is smaller than the sum of its proper divisors (6368487930).

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

3444405030 is a wasteful number, since it uses less digits than its factorization.

3444405030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3444405030 is about 58689.0537494003. The cubic root of 3444405030 is about 1510.2125382452.

Adding to 3444405030 its reverse (305044443), we get a palindrome (3749449473).

The spelling of 3444405030 in words is "three billion, four hundred forty-four million, four hundred five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 229 330 458 495 687 990 1145 1374 2061 2290 2519 3435 4122 5038 6870 7557 10305 12595 15114 15193 20610 22671 25190 30386 37785 45342 45579 75570 75965 91158 113355 136737 151930 167123 226710 227895 273474 334246 455790 501369 683685 835615 1002738 1367370 1504107 1671230 2506845 3008214 3479197 5013690 6958394 7520535 10437591 15041070 17395985 20875182 31312773 34791970 38271167 52187955 62625546 76542334 104375910 114813501 156563865 191355835 229627002 313127730 344440503 382711670 574067505 688881006 1148135010 1722202515 3444405030