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3004044414 = 237432101383
BaseRepresentation
bin1011001100001110…
…0001010001111110
321202100122021020020
42303003201101332
522123013410124
61214031033010
7134304645660
oct26303412176
97670567206
103004044414
111301783038
126ba06b766
1338b49c397
14206d7a530
15128ae2379
hexb30e147e

3004044414 has 96 divisors (see below), whose sum is σ = 7117922304. Its totient is φ = 827870400.

The previous prime is 3004044377. The next prime is 3004044479. The reversal of 3004044414 is 4144404003.

3004044414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7843267 + ... + 7843649.

It is an arithmetic number, because the mean of its divisors is an integer number (74145024).

Almost surely, 23004044414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004044414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558961152).

3004044414 is an abundant number, since it is smaller than the sum of its proper divisors (4113877890).

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

3004044414 is a wasteful number, since it uses less digits than its factorization.

3004044414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3004044414 is about 54809.1635951508. The cubic root of 3004044414 is about 1442.8973964253.

Adding to 3004044414 its reverse (4144404003), we get a palindrome (7148448417).

The spelling of 3004044414 in words is "three billion, four million, forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 101 129 202 258 301 303 383 602 606 707 766 903 1149 1414 1806 1849 2121 2298 2681 3698 4242 4343 5362 5547 8043 8686 11094 12943 13029 16086 16469 25886 26058 30401 32938 38683 38829 49407 60802 77366 77658 91203 98814 115283 116049 182406 186749 230566 232098 270781 345849 373498 541562 560247 691698 708167 812343 1120494 1307243 1416334 1624686 1663369 2124501 2614486 3326738 3921729 4249002 4957169 4990107 7843458 9914338 9980214 11643583 14871507 23287166 29743014 34930749 69861498 71524867 143049734 214574601 429149202 500674069 1001348138 1502022207 3004044414