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432340212340 = 225116331858249
BaseRepresentation
bin1100100101010010111…
…11000001101001110100
31112022221112101101012001
412102221133001221310
524040413043243330
6530340411105044
743143536112241
oct6225137015164
91468845341161
10432340212340
11157399862613
126b959a42184
1331a007b796a
1416cd53465c8
15b3a5bd89ca
hex64a97c1a74

432340212340 has 24 divisors (see below), whose sum is σ = 907992981000. Its totient is φ = 172921125888.

The previous prime is 432340212277. The next prime is 432340212497. The reversal of 432340212340 is 43212043234.

It can be written as a sum of positive squares in 4 ways, for example, as 195556759524 + 236783452816 = 442218^2 + 486604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432340212299 and 432340212308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696465 + ... + 1161784.

It is an arithmetic number, because the mean of its divisors is an integer number (37833040875).

Almost surely, 2432340212340 is an apocalyptic number.

It is an amenable number.

432340212340 is an abundant number, since it is smaller than the sum of its proper divisors (475652768660).

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

432340212340 is a wasteful number, since it uses less digits than its factorization.

432340212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869891 (or 1869889 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 432340212340 its reverse (43212043234), we get a palindrome (475552255574).

It can be divided in two parts, 432340 and 212340, that added together give a triangular number (644680 = T1135).

The spelling of 432340212340 in words is "four hundred thirty-two billion, three hundred forty million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 11633 23266 46532 58165 116330 232660 1858249 3716498 7432996 9291245 18582490 37164980 21617010617 43234021234 86468042468 108085053085 216170106170 432340212340