Search a number
-
+
853603434 = 23413738461
BaseRepresentation
bin110010111000001…
…111010001101010
32012111012112210000
4302320033101222
53222010302214
6220411403430
730103336515
oct6270172152
92174175700
10853603434
113a8922992
121b9a53576
13107b004b8
148151dd7c
154ee14809
hex32e0f46a

853603434 has 40 divisors (see below), whose sum is σ = 1926715428. Its totient is φ = 282450240.

The previous prime is 853603433. The next prime is 853603441. The reversal of 853603434 is 434306358.

853603434 is a `hidden beast` number, since 8 + 5 + 3 + 603 + 43 + 4 = 666.

853603434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 838276209 + 15327225 = 28953^2 + 3915^2 .

It is not an unprimeable number, because it can be changed into a prime (853603433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2964 + ... + 41424.

Almost surely, 2853603434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853603434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963357714).

853603434 is an abundant number, since it is smaller than the sum of its proper divisors (1073111994).

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

853603434 is a wasteful number, since it uses less digits than its factorization.

853603434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38612 (or 38603 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 853603434 is about 29216.4924999563. The cubic root of 853603434 is about 948.6049455627.

The spelling of 853603434 in words is "eight hundred fifty-three million, six hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 11097 22194 38461 76922 115383 230766 346149 692298 1038447 2076894 3115341 5269157 6230682 10538314 15807471 31614942 47422413 94844826 142267239 284534478 426801717 853603434