Search a number
-
+
6350838340 = 2257114787743
BaseRepresentation
bin1011110101000101…
…00001101001000100
3121101121020000101211
411322202201221010
5101001303311330
62530104301204
7313244143450
oct57242415104
917347200354
106350838340
112769978930
121292a71804
137a2986712
14443657660
15272839d2a
hex17a8a1a44

6350838340 has 96 divisors (see below), whose sum is σ = 16981622784. Its totient is φ = 1937343360.

The previous prime is 6350838313. The next prime is 6350838353. The reversal of 6350838340 is 438380536.

It is a junction number, because it is equal to n+sod(n) for n = 6350838293 and 6350838302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28509 + ... + 116251.

It is an arithmetic number, because the mean of its divisors is an integer number (176891904).

Almost surely, 26350838340 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 6350838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490811392).

6350838340 is an abundant number, since it is smaller than the sum of its proper divisors (10630784444).

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

6350838340 is a wasteful number, since it uses less digits than its factorization.

6350838340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87817 (or 87815 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 6350838340 is about 79692.1472919384. The cubic root of 6350838340 is about 1851.8693877165.

The spelling of 6350838340 in words is "six billion, three hundred fifty million, eight hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 72380 87743 175486 350972 438715 614201 877430 965173 1228402 1754860 1930346 2456804 3071005 3860692 4123921 4825865 6142010 6756211 8247842 9651730 12284020 13512422 16495684 19303460 20619605 27024844 28867447 33781055 41239210 45363131 57734894 67562110 82478420 90726262 115469788 135124220 144337235 181452524 226815655 288674470 317541917 453631310 577348940 635083834 907262620 1270167668 1587709585 3175419170 6350838340