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3430321000 = 23533499829
BaseRepresentation
bin1100110001110110…
…1000101101101000
322212001202100202221
43030131220231220
524011130233000
61324215403424
7151002150601
oct31435505550
98761670687
103430321000
111500365a37
127b8983574
134288b0c52
14247820da8
1515124661a
hexcc768b68

3430321000 has 64 divisors (see below), whose sum is σ = 8050770000. Its totient is φ = 1368057600.

The previous prime is 3430320997. The next prime is 3430321021. The reversal of 3430321000 is 1230343.

3430321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 914094756 + 2516226244 = 30234^2 + 50162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344086 + ... + 353914.

Almost surely, 23430321000 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 3430321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025385000).

3430321000 is an abundant number, since it is smaller than the sum of its proper divisors (4620449000).

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

3430321000 is a wasteful number, since it uses less digits than its factorization.

3430321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3430321000 is about 58568.9422817247. The cubic root of 3430321000 is about 1508.1513273735.

Adding to 3430321000 its reverse (1230343), we get a palindrome (3431551343).

The spelling of 3430321000 in words is "three billion, four hundred thirty million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 1000 1396 1745 2792 3490 6980 8725 9829 13960 17450 19658 34900 39316 43625 49145 69800 78632 87250 98290 174500 196580 245725 349000 393160 491450 982900 1228625 1965800 2457250 3430321 4914500 6860642 9829000 13721284 17151605 27442568 34303210 68606420 85758025 137212840 171516050 343032100 428790125 686064200 857580250 1715160500 3430321000