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3000244324 = 2273111910463
BaseRepresentation
bin1011001011010100…
…0001100001100100
321202002111012111011
42302311001201210
522121030304244
61213413352004
7134230441000
oct26265014144
97662435434
103000244324
1112aa617a70
126b8938604
1338a76b7cc
1420666b700
151285e1434
hexb2d41864

3000244324 has 96 divisors (see below), whose sum is σ = 7031808000. Its totient is φ = 1107298080.

The previous prime is 3000244321. The next prime is 3000244333. The reversal of 3000244324 is 4234420003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3000244295 and 3000244304.

It is not an unprimeable number, because it can be changed into a prime (3000244321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 281517 + ... + 291979.

It is an arithmetic number, because the mean of its divisors is an integer number (73248000).

Almost surely, 23000244324 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 3000244324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515904000).

3000244324 is an abundant number, since it is smaller than the sum of its proper divisors (4031563676).

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

3000244324 is a wasteful number, since it uses less digits than its factorization.

3000244324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3000244324 is about 54774.4860678765. The cubic root of 3000244324 is about 1442.2887221539.

Adding to 3000244324 its reverse (4234420003), we get a palindrome (7234664327).

The spelling of 3000244324 in words is "three billion, two hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 343 418 532 539 686 836 931 1078 1372 1463 1862 2156 2926 3724 3773 5852 6517 7546 10241 10463 13034 15092 20482 20926 26068 40964 41852 71687 73241 115093 143374 146482 198797 230186 286748 292964 397594 460372 512687 795188 805651 1025374 1391579 1611302 2050748 2186767 2783158 3222604 3588809 4373534 5566316 5639557 7177618 8747068 9741053 11279114 14355236 15307369 19482106 22558228 30614738 38964212 39476899 61229476 68187371 78953798 107151583 136374742 157907596 214303166 272749484 428606332 750061081 1500122162 3000244324