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834282438 = 2311193717981
BaseRepresentation
bin110001101110100…
…010001111000110
32011010211221100120
4301232202033012
53202034014223
6214441322410
726450166213
oct6156421706
92133757316
10834282438
11398a26820
121b3496406
13103ac7162
147cb30b0a
154d399be3
hex31ba23c6

834282438 has 64 divisors (see below), whose sum is σ = 1967950080. Its totient is φ = 233020800.

The previous prime is 834282437. The next prime is 834282499.

834282438 is nontrivially palindromic in base 10.

834282438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 834282438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834282433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37408 + ... + 55388.

It is an arithmetic number, because the mean of its divisors is an integer number (30749220).

Almost surely, 2834282438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834282438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983975040).

834282438 is an abundant number, since it is smaller than the sum of its proper divisors (1133667642).

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

834282438 is a wasteful number, since it uses less digits than its factorization.

834282438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18053.

The product of its digits is 294912, while the sum is 42.

The square root of 834282438 is about 28883.9477564962. The cubic root of 834282438 is about 941.3931500118.

The spelling of 834282438 in words is "eight hundred thirty-four million, two hundred eighty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 7733 15466 17981 23199 35962 46398 53943 107886 197791 341639 395582 593373 665297 683278 1024917 1186746 1330594 1995891 2049834 3758029 3991782 7318267 7516058 11274087 12640643 14636534 21954801 22548174 25281286 37921929 43909602 75843858 139047073 278094146 417141219 834282438