Search a number
-
+
2431436084 = 22711172331993
BaseRepresentation
bin1001000011101100…
…1100010100110100
320021110011202021022
42100323030110310
514434421423314
61041134040312
7114152602640
oct22073142464
96243152238
102431436084
111038533a10
1257a349098
132c997449c
14190cc3c20
15e36d578e
hex90ecc534

2431436084 has 96 divisors (see below), whose sum is σ = 5643945216. Its totient is φ = 887316480.

The previous prime is 2431436083. The next prime is 2431436129. The reversal of 2431436084 is 4806341342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431436081) 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, 1218992 + ... + 1220984.

It is an arithmetic number, because the mean of its divisors is an integer number (58791096).

Almost surely, 22431436084 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 2431436084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821972608).

2431436084 is an abundant number, since it is smaller than the sum of its proper divisors (3212509132).

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

2431436084 is a wasteful number, since it uses less digits than its factorization.

2431436084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 2431436084 is about 49309.5942388497. The cubic root of 2431436084 is about 1344.6862143492.

The spelling of 2431436084 in words is "two billion, four hundred thirty-one million, four hundred thirty-six thousand, eighty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 233 238 308 374 466 476 748 932 1309 1631 1993 2563 2618 3262 3961 3986 5126 5236 6524 7922 7972 10252 13951 15844 17941 21923 27727 27902 33881 35882 43571 43846 55454 55804 67762 71764 87142 87692 110908 135524 153461 174284 237167 304997 306922 372691 464369 474334 609994 613844 745382 928738 948668 1219988 1490764 1857476 2608837 3250583 5108059 5217674 6501166 7894273 10216118 10435348 13002332 15788546 20432236 31577092 35756413 55259911 71512826 86837003 110519822 143025652 173674006 221039644 347348012 607859021 1215718042 2431436084