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3002021442 = 232753895051
BaseRepresentation
bin1011001011101111…
…0011011001000010
321202012211111020100
42302323303121002
522122004141232
61213515423230
7134251522050
oct26273633102
97665744210
103002021442
111300621162
126b9454b16
1338ac41664
142069b11d0
15128842c7c
hexb2ef3642

3002021442 has 96 divisors (see below), whose sum is σ = 7660448640. Its totient is φ = 831916800.

The previous prime is 3002021437. The next prime is 3002021447. The reversal of 3002021442 is 2441202003.

It is an interprime number because it is at equal distance from previous prime (3002021437) and next prime (3002021447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3002021447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591817 + ... + 596867.

It is an arithmetic number, because the mean of its divisors is an integer number (79796340).

Almost surely, 23002021442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830224320).

3002021442 is an abundant number, since it is smaller than the sum of its proper divisors (4658427198).

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

3002021442 is a wasteful number, since it uses less digits than its factorization.

3002021442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3002021442 is about 54790.7057994328. The cubic root of 3002021442 is about 1442.5734335611.

Adding to 3002021442 its reverse (2441202003), we get a palindrome (5443223445).

The spelling of 3002021442 in words is "three billion, two million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 89 106 126 159 178 267 318 371 477 534 623 742 801 954 1113 1246 1602 1869 2226 3339 3738 4717 5051 5607 6678 9434 10102 11214 14151 15153 28302 30306 33019 35357 42453 45459 66038 70714 84906 90918 99057 106071 198114 212142 267703 297171 318213 449539 535406 594342 636426 803109 899078 1348617 1606218 1873921 2409327 2697234 3146773 3747842 4045851 4818654 5621763 6293546 8091702 9440319 11243526 16865289 18880638 23825567 28320957 33730578 47651134 56641914 71476701 142953402 166778969 214430103 333557938 428860206 500336907 1000673814 1501010721 3002021442