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34378239570 = 23519313752583
BaseRepresentation
bin100000000001000110…
…100100111001010010
310021201212201111222020
4200001012210321102
51030401312131240
623443152552310
72324632133463
oct400106447122
9107655644866
1034378239570
1113641690244
1267b5252696
13331b4795bc
141941adad6a
15d631b50d0
hex8011a4e52

34378239570 has 128 divisors (see below), whose sum is σ = 92076687360. Its totient is φ = 8177552640.

The previous prime is 34378239569. The next prime is 34378239619. The reversal of 34378239570 is 7593287343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627499 + ... + 680081.

It is an arithmetic number, because the mean of its divisors is an integer number (719349120).

Almost surely, 234378239570 is an apocalyptic number.

34378239570 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 34378239570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038343680).

34378239570 is an abundant number, since it is smaller than the sum of its proper divisors (57698447790).

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

34378239570 is a wasteful number, since it uses less digits than its factorization.

34378239570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680.

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 34378239570 in words is "thirty-four billion, three hundred seventy-eight million, two hundred thirty-nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 31 37 38 57 62 74 93 95 111 114 155 185 186 190 222 285 310 370 465 555 570 589 703 930 1110 1147 1178 1406 1767 2109 2294 2945 3441 3515 3534 4218 5735 5890 6882 7030 8835 10545 11470 17205 17670 21090 21793 34410 43586 52583 65379 105166 108965 130758 157749 217930 262915 315498 326895 525830 653790 788745 999077 1577490 1630073 1945571 1998154 2997231 3260146 3891142 4890219 4995385 5836713 5994462 8150365 9727855 9780438 9990770 11673426 14986155 16300730 19455710 24451095 29183565 29972310 30971387 36965849 48902190 58367130 60312701 61942774 73931698 92914161 110897547 120625402 154856935 180938103 184829245 185828322 221795094 301563505 309713870 361876206 369658490 464570805 554487735 603127010 904690515 929141610 1108975470 1145941319 1809381030 2291882638 3437823957 5729706595 6875647914 11459413190 17189119785 34378239570