Search a number
-
+
3514330326 = 2313219792309
BaseRepresentation
bin1101000101111000…
…0110110011010110
3100001220211110220110
43101132012303112
524144132032301
61340420143450
7153042213003
oct32136066326
910056743813
103514330326
111543825431
12820b37b86
13440116200
14254a4c8aa
151587dd0d6
hexd1786cd6

3514330326 has 96 divisors (see below), whose sum is σ = 8116416000. Its totient is φ = 1011014784.

The previous prime is 3514330289. The next prime is 3514330327. The reversal of 3514330326 is 6230334153.

It is a junction number, because it is equal to n+sod(n) for n = 3514330293 and 3514330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514330327) 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, 1520860 + ... + 1523168.

It is an arithmetic number, because the mean of its divisors is an integer number (84546000).

Almost surely, 23514330326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514330326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058208000).

3514330326 is an abundant number, since it is smaller than the sum of its proper divisors (4602085674).

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

3514330326 is a wasteful number, since it uses less digits than its factorization.

3514330326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3514330326 is about 59281.7874730511. The cubic root of 3514330326 is about 1520.3638219011.

Adding to 3514330326 its reverse (6230334153), we get a palindrome (9744664479).

The spelling of 3514330326 in words is "three billion, five hundred fourteen million, three hundred thirty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 79 114 158 169 237 247 338 474 494 507 741 1014 1027 1482 1501 2054 2309 3002 3081 3211 4503 4618 6162 6422 6927 9006 9633 13351 13854 19266 19513 26702 30017 39026 40053 43871 58539 60034 80106 87742 90051 117078 131613 180102 182411 253669 263226 364822 390221 507338 547233 570323 761007 780442 1094466 1140646 1170663 1522014 1710969 2341326 2371343 3421938 3465809 4742686 6931618 7114029 7414199 10397427 14228058 14828398 20794854 22242597 30827459 44485194 45055517 61654918 90111034 92482377 135166551 184964754 270333102 585721721 1171443442 1757165163 3514330326