Search a number
-
+
4324331112 = 233317121153
BaseRepresentation
bin1000000011100000…
…00000111001101000
3102011100222210002120
410001300000321220
532324012043422
61553033231240
7212106131223
oct40160007150
912140883076
104324331112
111919a76a72
12a08262520
1353bb8b10a
142d045c5ba
151a498d45c
hex101c00e68

4324331112 has 96 divisors (see below), whose sum is σ = 11328771840. Its totient is φ = 1374105600.

The previous prime is 4324331111. The next prime is 4324331117. The reversal of 4324331112 is 2111334234.

It is a happy number.

It is a super-2 number, since 2×43243311122 = 37399679132422313088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4324331111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3749928 + ... + 3751080.

It is an arithmetic number, because the mean of its divisors is an integer number (118008040).

Almost surely, 24324331112 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 4324331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664385920).

4324331112 is an abundant number, since it is smaller than the sum of its proper divisors (7004440728).

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

4324331112 is a wasteful number, since it uses less digits than its factorization.

4324331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1260 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4324331112 is about 65759.6465318967. The cubic root of 4324331112 is about 1629.1946681053.

Adding to 4324331112 its reverse (2111334234), we get a palindrome (6435665346).

The spelling of 4324331112 in words is "four billion, three hundred twenty-four million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 1153 1704 2201 2306 3459 4402 4612 5041 6603 6918 8804 9224 10082 13206 13836 15123 17608 20164 26412 27672 30246 35743 40328 52824 60492 71486 81863 107229 120984 142972 156271 163726 214458 245589 285944 312542 327452 428916 468813 491178 625084 654904 857832 937626 982356 1250168 1875252 1964712 2537753 3750504 5075506 5812273 7613259 10151012 11624546 15226518 17436819 20302024 23249092 30453036 34873638 46498184 60906072 69747276 139494552 180180463 360360926 540541389 720721852 1081082778 1441443704 2162165556 4324331112