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34520420 = 22511173907
BaseRepresentation
bin1000001110101…
…1110101100100
32101221211010002
42003223311210
532314123140
63231520432
7566263424
oct203536544
971854102
1034520420
1118538780
12b689118
1371c86ac
144828484
15306d415
hex20ebd64

34520420 has 48 divisors (see below), whose sum is σ = 79627968. Its totient is φ = 12466560.

The previous prime is 34520417. The next prime is 34520429. The reversal of 34520420 is 2402543.

34520420 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 = 34520392 and 34520401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34520429) 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 15 ways as a sum of consecutive naturals, for example, 37607 + ... + 38513.

It is an arithmetic number, because the mean of its divisors is an integer number (1658916).

Almost surely, 234520420 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 34520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813984).

34520420 is an abundant number, since it is smaller than the sum of its proper divisors (45107548).

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

34520420 is a wasteful number, since it uses less digits than its factorization.

34520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34520420 is about 5875.4080709343. The cubic root of 34520420 is about 325.6057185174.

Adding to 34520420 its reverse (2402543), we get a palindrome (36922963).

The spelling of 34520420 in words is "thirty-four million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 907 1730 1814 1903 3460 3628 3806 4535 7612 9070 9515 9977 18140 19030 19954 38060 39908 49885 99770 156911 199540 313822 627644 784555 1569110 1726021 3138220 3452042 6904084 8630105 17260210 34520420