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3430342000 = 24534736493
BaseRepresentation
bin1100110001110110…
…1101110101110000
322212001210102120201
43030131231311300
524011131421000
61324220044544
7151002266041
oct31435556560
98761712521
103430342000
11150037a798
127b8993754
134288ba687
142478288c8
1515124c96a
hexcc76dd70

3430342000 has 80 divisors (see below), whose sum is σ = 8471279232. Its totient is φ = 1342905600.

The previous prime is 3430341989. The next prime is 3430342007. The reversal of 3430342000 is 2430343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430342007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75754 + ... + 112246.

Almost surely, 23430342000 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 3430342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235639616).

3430342000 is an abundant number, since it is smaller than the sum of its proper divisors (5040937232).

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

3430342000 is a wasteful number, since it uses less digits than its factorization.

3430342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36563 (or 36547 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3430342000 is about 58569.1215573531. The cubic root of 3430342000 is about 1508.1544049391.

Adding to 3430342000 its reverse (2430343), we get a palindrome (3432772343).

The spelling of 3430342000 in words is "three billion, four hundred thirty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 36493 47000 72986 94000 145972 182465 291944 364930 583888 729860 912325 1459720 1715171 1824650 2919440 3430342 3649300 4561625 6860684 7298600 8575855 9123250 13721368 14597200 17151710 18246500 27442736 34303420 36493000 42879275 68606840 72986000 85758550 137213680 171517100 214396375 343034200 428792750 686068400 857585500 1715171000 3430342000