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332132322340 = 225721326070041
BaseRepresentation
bin1001101010101001010…
…00010000110000100100
31011202021212120010110201
410311110220100300210
520420201333303330
6412325100200244
732665356105400
oct4652450206044
91152255503421
10332132322340
111189470456a5
1254452539084
1325420bba8b0
141210a84c100
15898d5d6eca
hex4d54a10c24

332132322340 has 72 divisors (see below), whose sum is σ = 873763527672. Its totient is φ = 105114401280.

The previous prime is 332132322337. The next prime is 332132322341. The reversal of 332132322340 is 43223231233.

It can be written as a sum of positive squares in 4 ways, for example, as 273373156 + 331858949184 = 16534^2 + 576072^2 .

It is a super-2 number, since 2×3321323223402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 332132322299 and 332132322308.

It is not an unprimeable number, because it can be changed into a prime (332132322341) 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, 13022281 + ... + 13047760.

It is an arithmetic number, because the mean of its divisors is an integer number (12135604551).

Almost surely, 2332132322340 is an apocalyptic number.

It is an amenable number.

332132322340 is an abundant number, since it is smaller than the sum of its proper divisors (541631205332).

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

332132322340 is a wasteful number, since it uses less digits than its factorization.

332132322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070077 (or 26070068 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 332132322340 its reverse (43223231233), we get a palindrome (375355553573).

The spelling of 332132322340 in words is "three hundred thirty-two billion, one hundred thirty-two million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 26070041 52140082 104280164 130350205 182490287 260700410 338910533 364980574 521400820 677821066 729961148 912451435 1277432009 1355642132 1694552665 1824902870 2372373731 2554864018 3389105330 3649805740 4744747462 5109728036 6387160045 6778210660 9489494924 11861868655 12774320090 16606616117 23723737310 25548640180 33213232234 47447474620 66426464468 83033080585 166066161170 332132322340