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3002034420 = 223357111731137
BaseRepresentation
bin1011001011101111…
…0110100011110100
321202012212011001000
42302323312203310
522122010100140
61213520003300
7134251604640
oct26273664364
97665764030
103002034420
11130062a990
126b9460530
1338ac47538
142069b5c20
15128846a30
hexb2ef68f4

3002034420 has 768 divisors, whose sum is σ = 12819824640. Its totient is φ = 564019200.

The previous prime is 3002034397. The next prime is 3002034421. The reversal of 3002034420 is 244302003.

3002034420 is a `hidden beast` number, since 300 + 2 + 0 + 344 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3002034393 and 3002034402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002034421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21912592 + ... + 21912728.

It is an arithmetic number, because the mean of its divisors is an integer number (16692480).

Almost surely, 23002034420 is an apocalyptic number.

3002034420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409912320).

3002034420 is an abundant number, since it is smaller than the sum of its proper divisors (9817790220).

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

3002034420 is a wasteful number, since it uses less digits than its factorization.

3002034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3002034420 is about 54790.8242318000. The cubic root of 3002034420 is about 1442.5755123483.

Adding to 3002034420 its reverse (244302003), we get a palindrome (3246336423).

The spelling of 3002034420 in words is "three billion, two million, thirty-four thousand, four hundred twenty".