Search a number
-
+
34531212432 = 2438317350101
BaseRepresentation
bin100000001010001110…
…000111110010010000
310022010112120100021210
4200022032013302100
51031204442244212
623510255420120
72331500314503
oct401216076220
9108115510253
1034531212432
111370aa72aa2
126838524640
1333440796a2
14195815b13a
15d7183053c
hex80a387c90

34531212432 has 80 divisors (see below), whose sum is σ = 90804063168. Its totient is φ = 11305766400.

The previous prime is 34531212383. The next prime is 34531212451. The reversal of 34531212432 is 23421213543.

It is a super-2 number, since 2×345312124322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34531212432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664182 + ... + 714282.

Almost surely, 234531212432 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 34531212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45402031584).

34531212432 is an abundant number, since it is smaller than the sum of its proper divisors (56272850736).

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

34531212432 is a wasteful number, since it uses less digits than its factorization.

34531212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50368 (or 50362 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 34531212432 its reverse (23421213543), we get a palindrome (57952425975).

The spelling of 34531212432 in words is "thirty-four billion, five hundred thirty-one million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 173 249 332 346 498 519 664 692 996 1038 1328 1384 1992 2076 2768 3984 4152 8304 14359 28718 43077 50101 57436 86154 100202 114872 150303 172308 200404 229744 300606 344616 400808 601212 689232 801616 1202424 2404848 4158383 8316766 8667473 12475149 16633532 17334946 24950298 26002419 33267064 34669892 49900596 52004838 66534128 69339784 99801192 104009676 138679568 199602384 208019352 416038704 719400259 1438800518 2158200777 2877601036 4316401554 5755202072 8632803108 11510404144 17265606216 34531212432