Search a number
-
+
2432534352 = 2431723912473
BaseRepresentation
bin1001000011111101…
…1000011101010000
320021112020112210220
42100333120131100
514440212044402
61041213353040
7114165125613
oct22077303520
96245215726
102432534352
111039114076
1257a798780
132c9c6a351
141910cc17a
15e3850dbc
hex90fd8750

2432534352 has 80 divisors (see below), whose sum is σ = 6682072320. Its totient is φ = 759894016.

The previous prime is 2432534347. The next prime is 2432534371. The reversal of 2432534352 is 2534352342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188788 + ... + 201260.

It is an arithmetic number, because the mean of its divisors is an integer number (83525904).

Almost surely, 22432534352 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 2432534352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341036160).

2432534352 is an abundant number, since it is smaller than the sum of its proper divisors (4249537968).

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

2432534352 is a wasteful number, since it uses less digits than its factorization.

2432534352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12734 counting only the distinct ones).

The product of its digits is 86400, while the sum is 33.

The square root of 2432534352 is about 49320.7294349952. The cubic root of 2432534352 is about 1344.8886466410. Note that the first 3 decimals are identical.

Adding to 2432534352 its reverse (2534352342), we get a palindrome (4966886694).

The spelling of 2432534352 in words is "two billion, four hundred thirty-two million, five hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 239 272 408 478 717 816 956 1434 1912 2868 3824 4063 5736 8126 11472 12189 12473 16252 24378 24946 32504 37419 48756 49892 65008 74838 97512 99784 149676 195024 199568 212041 299352 424082 598704 636123 848164 1272246 1696328 2544492 2981047 3392656 5088984 5962094 8943141 10177968 11924188 17886282 23848376 35772564 47696752 50677799 71545128 101355598 143090256 152033397 202711196 304066794 405422392 608133588 810844784 1216267176 2432534352