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3004123024 = 24712721663
BaseRepresentation
bin1011001100001111…
…0100011110010000
321202100210021001201
42303003310132100
522123023414044
61214032440544
7134305424110
oct26303643620
97670707051
103004123024
111301827101
126ba0a9154
1338b4c90b6
14206d9b040
15128b0a7d4
hexb30f4790

3004123024 has 60 divisors (see below), whose sum is σ = 6708808704. Its totient is φ = 1276575552.

The previous prime is 3004123009. The next prime is 3004123037. The reversal of 3004123024 is 4203214003.

It is a junction number, because it is equal to n+sod(n) for n = 3004122992 and 3004123010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1805617 + ... + 1807279.

Almost surely, 23004123024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354404352).

3004123024 is an abundant number, since it is smaller than the sum of its proper divisors (3704685680).

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

3004123024 is a wasteful number, since it uses less digits than its factorization.

3004123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3004123024 is about 54809.8807150682. The cubic root of 3004123024 is about 1442.9099822551.

Adding to 3004123024 its reverse (4203214003), we get a palindrome (7207337027).

The spelling of 3004123024 in words is "three billion, four million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1663 1778 2032 3326 3556 6652 7112 11641 13304 14224 16129 23282 26608 32258 46564 64516 93128 112903 129032 186256 211201 225806 258064 422402 451612 844804 903224 1478407 1689608 1806448 2956814 3379216 5913628 11827256 23654512 26822527 53645054 107290108 187757689 214580216 375515378 429160432 751030756 1502061512 3004123024