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3005444214 = 2323719722907
BaseRepresentation
bin1011001100100011…
…0111000001110110
321202110021101101200
42303020313001312
522123343203324
61214121033330
7134322566013
oct26310670166
97673241350
103005444214
1113025497a3
126ba625846
1338b86c576
1420722270a
15128cbbec9
hexb3237076

3005444214 has 48 divisors (see below), whose sum is σ = 6722031888. Its totient is φ = 969748416.

The previous prime is 3005444207. The next prime is 3005444227. The reversal of 3005444214 is 4124445003.

It is a happy number.

3005444214 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 444 + 214 = 666.

3005444214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119749 + ... + 142655.

It is an arithmetic number, because the mean of its divisors is an integer number (140042331).

Almost surely, 23005444214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005444214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361015944).

3005444214 is an abundant number, since it is smaller than the sum of its proper divisors (3716587674).

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

3005444214 is a wasteful number, since it uses less digits than its factorization.

3005444214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23149 (or 23146 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3005444214 is about 54821.9318703747. The cubic root of 3005444214 is about 1443.1214781254.

Adding to 3005444214 its reverse (4124445003), we get a palindrome (7129889217).

The spelling of 3005444214 in words is "three billion, five million, four hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 197 222 333 394 591 666 1182 1773 3546 7289 14578 21867 22907 43734 45814 65601 68721 131202 137442 206163 412326 847559 1695118 2542677 4512679 5085354 7628031 9025358 13538037 15256062 27076074 40614111 81228222 166969123 333938246 500907369 1001814738 1502722107 3005444214