Search a number
-
+
3230301340 = 2257192415039
BaseRepresentation
bin1100000010001010…
…0111110010011100
322100010101022101101
43000202213302130
523103424120330
61252312322444
7143023052110
oct30042476234
98303338341
103230301340
11140846a232
127619a3424
133c631aa16
14229035740
1513d8d64ca
hexc08a7c9c

3230301340 has 96 divisors (see below), whose sum is σ = 8196249600. Its totient is φ = 1044679680.

The previous prime is 3230301323. The next prime is 3230301343. The reversal of 3230301340 is 431030323.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230301343) 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, 638541 + ... + 643579.

It is an arithmetic number, because the mean of its divisors is an integer number (85377600).

Almost surely, 23230301340 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 3230301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098124800).

3230301340 is an abundant number, since it is smaller than the sum of its proper divisors (4965948260).

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

3230301340 is a wasteful number, since it uses less digits than its factorization.

3230301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3230301340 is about 56835.7399881448. The cubic root of 3230301340 is about 1478.2492903634.

Adding to 3230301340 its reverse (431030323), we get a palindrome (3661331663).

The spelling of 3230301340 in words is "three billion, two hundred thirty million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 241 266 380 482 532 665 964 1205 1330 1687 2410 2660 3374 4579 4820 5039 6748 8435 9158 10078 16870 18316 20156 22895 25195 32053 33740 35273 45790 50390 64106 70546 91580 95741 100780 128212 141092 160265 176365 191482 320530 352730 382964 478705 641060 670187 705460 957410 1214399 1340374 1914820 2428798 2680748 3350935 4857596 6071995 6701870 8500793 12143990 13403740 17001586 23073581 24287980 34003172 42503965 46147162 85007930 92294324 115367905 161515067 170015860 230735810 323030134 461471620 646060268 807575335 1615150670 3230301340