Search a number
-
+
3230131344 = 243119376529
BaseRepresentation
bin1100000010000111…
…1110010010010000
322100010001200012020
43000201332102100
523103403200334
61252304531440
7143021443356
oct30041762220
98303050166
103230131344
111408363540
12761920b80
133c628b52b
14228dcd7d6
1513d8a0e49
hexc087e490

3230131344 has 80 divisors (see below), whose sum is σ = 9114208320. Its totient is φ = 977633280.

The previous prime is 3230131343. The next prime is 3230131349. The reversal of 3230131344 is 4431310323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3230131343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491472 + ... + 498000.

It is an arithmetic number, because the mean of its divisors is an integer number (113927604).

Almost surely, 23230131344 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 3230131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557104160).

3230131344 is an abundant number, since it is smaller than the sum of its proper divisors (5884076976).

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

3230131344 is a wasteful number, since it uses less digits than its factorization.

3230131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3230131344 is about 56834.2444658148. The cubic root of 3230131344 is about 1478.2233587399.

Adding to 3230131344 its reverse (4431310323), we get a palindrome (7661441667).

The spelling of 3230131344 in words is "three billion, two hundred thirty million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 937 1874 2811 3748 5622 6529 7496 10307 11244 13058 14992 19587 20614 22488 26116 30921 39174 41228 44976 52232 61842 71819 78348 82456 104464 123684 143638 156696 164912 215457 247368 287276 313392 430914 494736 574552 861828 1149104 1723656 3447312 6117673 12235346 18353019 24470692 36706038 48941384 67294403 73412076 97882768 134588806 146824152 201883209 269177612 293648304 403766418 538355224 807532836 1076710448 1615065672 3230131344