Search a number
-
+
34461020 = 22511156641
BaseRepresentation
bin1000001101110…
…1010101011100
32101211210122002
42003131111130
532310223040
63230341432
7565625306
oct203352534
971753562
1034461020
11184a8090
12b65a878
1371a7649
144810976
15305aa15
hex20dd55c

34461020 has 24 divisors (see below), whose sum is σ = 78947568. Its totient is φ = 12531200.

The previous prime is 34460983. The next prime is 34461043. The reversal of 34461020 is 2016443.

It is a happy number.

34461020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34460983 and 34461001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78101 + ... + 78540.

It is an arithmetic number, because the mean of its divisors is an integer number (3289482).

Almost surely, 234461020 is an apocalyptic number.

It is an amenable number.

34461020 is an abundant number, since it is smaller than the sum of its proper divisors (44486548).

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

34461020 is a wasteful number, since it uses less digits than its factorization.

34461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156661 (or 156659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34461020 is about 5870.3509264779. The cubic root of 34461020 is about 325.4188524657.

Adding to 34461020 its reverse (2016443), we get a palindrome (36477463).

The spelling of 34461020 in words is "thirty-four million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 156641 313282 626564 783205 1566410 1723051 3132820 3446102 6892204 8615255 17230510 34461020