Search a number
-
+
3430039050 = 23252431031721
BaseRepresentation
bin1100110001110010…
…0011111000001010
322212001020001000100
43030130203320022
524011042222200
61324205350230
7150666564564
oct31434437012
98761201010
103430039050
111500193119
127b8868376
13428812809
1424778a334
151511dcd00
hexcc723e0a

3430039050 has 144 divisors (see below), whose sum is σ = 9526765248. Its totient is φ = 884217600.

The previous prime is 3430039037. The next prime is 3430039057. The reversal of 3430039050 is 509300343.

It is not an unprimeable number, because it can be changed into a prime (3430039057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1992190 + ... + 1993910.

It is an arithmetic number, because the mean of its divisors is an integer number (66158092).

Almost surely, 23430039050 is an apocalyptic number.

3430039050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430039050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763382624).

3430039050 is an abundant number, since it is smaller than the sum of its proper divisors (6096726198).

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

3430039050 is a wasteful number, since it uses less digits than its factorization.

3430039050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3430039050 is about 58566.5352398449. The cubic root of 3430039050 is about 1508.1100061757.

Adding to 3430039050 its reverse (509300343), we get a palindrome (3939339393).

The spelling of 3430039050 in words is "three billion, four hundred thirty million, thirty-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 103 129 150 206 215 225 258 309 387 430 450 515 618 645 774 927 1030 1075 1290 1545 1721 1854 1935 2150 2575 3090 3225 3442 3870 4429 4635 5150 5163 6450 7725 8605 8858 9270 9675 10326 13287 15450 15489 17210 19350 22145 23175 25815 26574 30978 39861 43025 44290 46350 51630 66435 74003 77445 79722 86050 110725 129075 132870 148006 154890 177263 199305 221450 222009 258150 332175 354526 370015 387225 398610 444018 531789 664350 666027 740030 774450 886315 996525 1063578 1110045 1332054 1595367 1772630 1850075 1993050 2220090 2658945 3190734 3330135 3700150 4431575 5317890 5550225 6660270 7622309 7976835 8863150 11100450 13294725 15244618 15953670 16650675 22866927 26589450 33301350 38111545 39884175 45733854 68600781 76223090 79768350 114334635 137201562 190557725 228669270 343003905 381115450 571673175 686007810 1143346350 1715019525 3430039050