Search a number
-
+
834476412 = 2237115915307
BaseRepresentation
bin110001101111010…
…001100101111100
32011011012210102210
4301233101211330
53202111221122
6214445420420
726451634560
oct6157214574
92134183383
10834476412
11399049530
121b356a710
13103b64533
147cb816a0
154d3d740c
hex31bd197c

834476412 has 96 divisors (see below), whose sum is σ = 2468874240. Its totient is φ = 213059520.

The previous prime is 834476407. The next prime is 834476413. The reversal of 834476412 is 214674438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834476413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46863 + ... + 62169.

It is an arithmetic number, because the mean of its divisors is an integer number (25717440).

Almost surely, 2834476412 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 834476412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234437120).

834476412 is an abundant number, since it is smaller than the sum of its proper divisors (1634397828).

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

834476412 is a wasteful number, since it uses less digits than its factorization.

834476412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15391 (or 15389 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 834476412 is about 28887.3053779684. The cubic root of 834476412 is about 941.4661035809.

The spelling of 834476412 in words is "eight hundred thirty-four million, four hundred seventy-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 826 924 1239 1298 1652 1947 2478 2596 3894 4543 4956 7788 9086 13629 15307 18172 27258 30614 45921 54516 61228 91842 107149 168377 183684 214298 321447 336754 428596 505131 642894 673508 903113 1010262 1178639 1285788 1806226 2020524 2357278 2709339 3535917 3612452 4714556 5418678 6321791 7071834 9934243 10837356 12643582 14143668 18965373 19868486 25287164 29802729 37930746 39736972 59605458 69539701 75861492 119210916 139079402 208619103 278158804 417238206 834476412