Search a number
-
+
34459420 = 2259411831
BaseRepresentation
bin1000001101110…
…0111100011100
32101211201102211
42003130330130
532310200140
63230330204
7565620532
oct203347434
971751384
1034459420
11184a6966
12b659964
1371a69b8
144810152
15305a2ea
hex20dcf1c

34459420 has 24 divisors (see below), whose sum is σ = 72481248. Its totient is φ = 13761600.

The previous prime is 34459409. The next prime is 34459423. The reversal of 34459420 is 2495443.

It is a happy number.

34459420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34459423) by changing a digit.

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, 17905 + ... + 19735.

It is an arithmetic number, because the mean of its divisors is an integer number (3020052).

Almost surely, 234459420 is an apocalyptic number.

It is an amenable number.

34459420 is an abundant number, since it is smaller than the sum of its proper divisors (38021828).

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

34459420 is a wasteful number, since it uses less digits than its factorization.

34459420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 34459420 is about 5870.2146468421. The cubic root of 34459420 is about 325.4138160678.

The spelling of 34459420 in words is "thirty-four million, four hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 941 1831 1882 3662 3764 4705 7324 9155 9410 18310 18820 36620 1722971 3445942 6891884 8614855 17229710 34459420