Search a number
-
+
3004410213 = 3272359113311
BaseRepresentation
bin1011001100010011…
…1010100101100101
321202101022212000100
42303010322211211
522123112111323
61214042534313
7134311031310
oct26304724545
97671285010
103004410213
111301a02952
126ba207399
1338b599a2c
14207033977
15128b65943
hexb313a965

3004410213 has 96 divisors (see below), whose sum is σ = 5326663680. Its totient is φ = 1594897920.

The previous prime is 3004410191. The next prime is 3004410217. The reversal of 3004410213 is 3120144003.

3004410213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3004410213 - 212 = 3004406117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004410217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9660328 + ... + 9660638.

It is an arithmetic number, because the mean of its divisors is an integer number (55486080).

Almost surely, 23004410213 is an apocalyptic number.

It is an amenable number.

3004410213 is a deficient number, since it is larger than the sum of its proper divisors (2322253467).

3004410213 is a wasteful number, since it uses less digits than its factorization.

3004410213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3004410213 is about 54812.5005176739. The cubic root of 3004410213 is about 1442.9559606951.

Adding to 3004410213 its reverse (3120144003), we get a palindrome (6124554216).

The spelling of 3004410213 in words is "three billion, four million, four hundred ten thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 23 59 63 69 113 161 177 207 311 339 413 483 531 791 933 1017 1239 1357 1449 2177 2373 2599 2799 3717 4071 6531 6667 7119 7153 7797 9499 12213 18193 18349 19593 20001 21459 23391 28497 35143 46669 50071 54579 55047 60003 64377 85491 105429 128443 140007 150213 153341 163737 165141 246001 316287 385329 420021 422027 450639 460023 738003 808289 1073387 1155987 1266081 1380069 2073437 2214009 2424867 2954189 3220161 3798243 5658023 6220311 7274601 8862567 9660483 14514059 16974069 18660933 26587701 43542177 47689051 50922207 130626531 143067153 333823357 429201459 1001470071 3004410213