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34420428 = 22327137997
BaseRepresentation
bin1000001101001…
…1011011001100
32101202201221200
42003103123030
532302423203
63225425500
7565366050
oct203233314
971681850
1034420428
111847a639
12b63b290
137192023
1447ddc60
15304d9a3
hex20d36cc

34420428 has 72 divisors (see below), whose sum is σ = 100263072. Its totient is φ = 9752832.

The previous prime is 34420417. The next prime is 34420439. The reversal of 34420428 is 82402443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34420417) and next prime (34420439).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34026 + ... + 35022.

Almost surely, 234420428 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 34420428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131536).

34420428 is an abundant number, since it is smaller than the sum of its proper divisors (65842644).

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

34420428 is a wasteful number, since it uses less digits than its factorization.

34420428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34420428 is about 5866.8925335308. The cubic root of 34420428 is about 325.2910308288.

The spelling of 34420428 in words is "thirty-four million, four hundred twenty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 997 1233 1644 1918 1994 2466 2877 2991 3836 3988 4932 5754 5982 6979 8631 8973 11508 11964 13958 17262 17946 20937 27916 34524 35892 41874 62811 83748 125622 136589 251244 273178 409767 546356 819534 956123 1229301 1639068 1912246 2458602 2868369 3824492 4917204 5736738 8605107 11473476 17210214 34420428