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34420720 = 245430259
BaseRepresentation
bin1000001101001…
…1011111110000
32101202202100111
42003103133300
532302430340
63225431104
7565366645
oct203233760
971682314
1034420720
111847a884
12b63b494
1371921b9
1447dddcc
15304daea
hex20d37f0

34420720 has 20 divisors (see below), whose sum is σ = 80028360. Its totient is φ = 13768256.

The previous prime is 34420717. The next prime is 34420721. The reversal of 34420720 is 2702443.

34420720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 34420691 and 34420700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420721) 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 3 ways as a sum of consecutive naturals, for example, 215050 + ... + 215209.

It is an arithmetic number, because the mean of its divisors is an integer number (4001418).

Almost surely, 234420720 is an apocalyptic number.

It is an amenable number.

34420720 is an abundant number, since it is smaller than the sum of its proper divisors (45607640).

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

34420720 is a wasteful number, since it uses less digits than its factorization.

34420720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430272 (or 430266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 34420720 is about 5866.9174188836. The cubic root of 34420720 is about 325.2919506771.

The spelling of 34420720 in words is "thirty-four million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430259 860518 1721036 2151295 3442072 4302590 6884144 8605180 17210360 34420720