Search a number
-
+
2431421344 = 251156312269
BaseRepresentation
bin1001000011101100…
…1000101110100000
320021110011000001101
42100323020232200
514434420440334
61041133444144
7114152511652
oct22073105640
96243130041
102431421344
111038523930
1257a340654
132c996a871
14190cbc6d2
15e36d1214
hex90ec8ba0

2431421344 has 48 divisors (see below), whose sum is σ = 5231731680. Its totient is φ = 1103138560.

The previous prime is 2431421323. The next prime is 2431421359. The reversal of 2431421344 is 4431241342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192042 + ... + 204310.

It is an arithmetic number, because the mean of its divisors is an integer number (108994410).

Almost surely, 22431421344 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 2431421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615865840).

2431421344 is an abundant number, since it is smaller than the sum of its proper divisors (2800310336).

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

2431421344 is a wasteful number, since it uses less digits than its factorization.

2431421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853 (or 12845 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2431421344 is about 49309.4447748096. Note that the first 3 decimals coincide. The cubic root of 2431421344 is about 1344.6834970641.

Adding to 2431421344 its reverse (4431241342), we get a palindrome (6862662686).

The spelling of 2431421344 in words is "two billion, four hundred thirty-one million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 563 1126 2252 4504 6193 9008 12269 12386 18016 24538 24772 49076 49544 98152 99088 134959 196304 198176 269918 392608 539836 1079672 2159344 4318688 6907447 13814894 27629788 55259576 75981917 110519152 151963834 221038304 303927668 607855336 1215710672 2431421344