Search a number
-
+
34122422320 = 245760932897
BaseRepresentation
bin11111110001110110…
…101101100000110000
310021002001100122200021
4133301312231200300
51024340320003240
623401533533224
72315404542550
oct376166554060
9107061318607
1034122422320
1113520243a28
126743644214
1332aa47b14c
141919b49160
15d4a9d254a
hex7f1dad830

34122422320 has 40 divisors (see below), whose sum is σ = 90668152224. Its totient is φ = 11699116032.

The previous prime is 34122422293. The next prime is 34122422351. The reversal of 34122422320 is 2322422143.

It is a tau number, because it is divible by the number of its divisors (40).

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, 30465889 + ... + 30467008.

Almost surely, 234122422320 is an apocalyptic number.

It is an amenable number.

34122422320 is an abundant number, since it is smaller than the sum of its proper divisors (56545729904).

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

34122422320 is a wasteful number, since it uses less digits than its factorization.

34122422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60932917 (or 60932911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34122422320 its reverse (2322422143), we get a palindrome (36444844463).

The spelling of 34122422320 in words is "thirty-four billion, one hundred twenty-two million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 60932897 121865794 243731588 304664485 426530279 487463176 609328970 853060558 974926352 1218657940 1706121116 2132651395 2437315880 3412242232 4265302790 4874631760 6824484464 8530605580 17061211160 34122422320