Search a number
-
+
34420516550 = 2527859114487
BaseRepresentation
bin100000000011100111…
…110110011011000110
310021211211021102002022
4200003213312123012
51030443123012200
623451303043142
72325654364130
oct400347663306
9107754242068
1034420516550
11136635365a2
1268074404b2
13332715c674
141947584050
15d66c66885
hex8039f66c6

34420516550 has 48 divisors (see below), whose sum is σ = 73254001920. Its totient is φ = 11787478560.

The previous prime is 34420516523. The next prime is 34420516579. The reversal of 34420516550 is 5561502443.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34420516550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243407 + ... + 357893.

It is an arithmetic number, because the mean of its divisors is an integer number (1526125040).

Almost surely, 234420516550 is an apocalyptic number.

34420516550 is an abundant number, since it is smaller than the sum of its proper divisors (38833485370).

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

34420516550 is a wasteful number, since it uses less digits than its factorization.

34420516550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115365 (or 115360 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 34420516550 in words is "thirty-four billion, four hundred twenty million, five hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 859 1718 4295 6013 8590 12026 21475 30065 42950 60130 114487 150325 228974 300650 572435 801409 1144870 1602818 2862175 4007045 5724350 8014090 20035225 40070450 98344333 196688666 491721665 688410331 983443330 1376820662 2458608325 3442051655 4917216650 6884103310 17210258275 34420516550