Search a number
-
+
9434051406 = 2321347218251
BaseRepresentation
bin10001100100101000…
…00011001101001110
3220100110211110121100
420302110003031032
5123310104121111
64200044243530
7452533054023
oct106224031516
926313743540
109434051406
1140013044aa
1219b35405a6
13b74684950
14656d2154a
153a3369756
hex23250334e

9434051406 has 72 divisors (see below), whose sum is σ = 22492341144. Its totient is φ = 2840868000.

The previous prime is 9434051377. The next prime is 9434051447. The reversal of 9434051406 is 6041504349.

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, 507781 + ... + 526031.

It is an arithmetic number, because the mean of its divisors is an integer number (312393627).

Almost surely, 29434051406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9434051406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246170572).

9434051406 is an abundant number, since it is smaller than the sum of its proper divisors (13058289738).

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

9434051406 is a wasteful number, since it uses less digits than its factorization.

9434051406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18316 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9434051406 is about 97129.0451203964. The cubic root of 9434051406 is about 2112.9995900496. Note that the first 3 decimals are identical.

The spelling of 9434051406 in words is "nine billion, four hundred thirty-four million, fifty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 2209 3666 4418 5499 6627 10998 13254 18251 19881 28717 36502 39762 54753 57434 86151 109506 164259 172302 237263 258453 328518 474526 516906 711789 857797 1423578 1715594 2135367 2573391 4270734 5146782 7720173 11151361 15440346 22302722 33454083 40316459 66908166 80632918 100362249 120949377 200724498 241898754 362848131 524113967 725696262 1048227934 1572341901 3144683802 4717025703 9434051406