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834222438 = 23275322357
BaseRepresentation
bin110001101110010…
…011100101100110
32011010201220001100
4301232103211212
53202030104223
6214440140530
726446526250
oct6156234546
92133656040
10834222438
11398995735
121b3467746
13103aa5a5a
147cb16cd0
154d387043
hex31b93966

834222438 has 72 divisors (see below), whose sum is σ = 2106297648. Its totient is φ = 233752896.

The previous prime is 834222421. The next prime is 834222457.

It is a happy number.

834222438 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352756 + ... + 355112.

It is an arithmetic number, because the mean of its divisors is an integer number (29254134).

Almost surely, 2834222438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834222438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053148824).

834222438 is an abundant number, since it is smaller than the sum of its proper divisors (1272075210).

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

834222438 is a wasteful number, since it uses less digits than its factorization.

834222438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2422 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 834222438 is about 28882.9090986348. The cubic root of 834222438 is about 941.3705817381.

The spelling of 834222438 in words is "eight hundred thirty-four million, two hundred twenty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 2357 2809 3339 4714 5618 6678 7071 8427 14142 16499 16854 19663 21213 25281 32998 39326 42426 49497 50562 58989 98994 117978 124921 148491 176967 249842 296982 353934 374763 749526 874447 1124289 1748894 2248578 2623341 5246682 6620813 7870023 13241626 15740046 19862439 39724878 46345691 59587317 92691382 119174634 139037073 278074146 417111219 834222438