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3004442224 = 247292167191
BaseRepresentation
bin1011001100010100…
…0010011001110000
321202101101110220221
42303011002121300
522123114122344
61214043342424
7134311223530
oct26305023160
97671343827
103004442224
111301a24a03
126ba221a14
1338b5ab484
142070414c0
15128b70184
hexb3142670

3004442224 has 120 divisors (see below), whose sum is σ = 6967554048. Its totient is φ = 1229303040.

The previous prime is 3004442213. The next prime is 3004442237. The reversal of 3004442224 is 4222444003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15729969 + ... + 15730159.

Almost surely, 23004442224 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 3004442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483777024).

3004442224 is an abundant number, since it is smaller than the sum of its proper divisors (3963111824).

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

3004442224 is a wasteful number, since it uses less digits than its factorization.

3004442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 3004442224 is about 54812.7925214543. The cubic root of 3004442224 is about 1442.9610854169.

Adding to 3004442224 its reverse (4222444003), we get a palindrome (7226886227).

The spelling of 3004442224 in words is "three billion, four million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 167 191 203 232 334 382 406 464 668 764 812 841 1169 1336 1337 1528 1624 1682 2338 2672 2674 3056 3248 3364 4676 4843 5348 5539 5887 6728 9352 9686 10696 11078 11774 13456 18704 19372 21392 22156 23548 31897 33901 38744 38773 44312 47096 63794 67802 77488 77546 88624 94192 127588 135604 140447 155092 160631 223279 255176 271208 280894 310184 321262 446558 510352 542416 561788 620368 642524 893116 925013 983129 1123576 1124417 1285048 1786232 1850026 1966258 2247152 2248834 2570096 3572464 3700052 3932516 4497668 6475091 7400104 7865032 8995336 12950182 14800208 15730064 17990672 25900364 26825377 51800728 53650754 103601456 107301508 187777639 214603016 375555278 429206032 751110556 1502221112 3004442224