Search a number
-
+
34024928 = 257151897
BaseRepresentation
bin1000000111001…
…0110111100000
32101000122102112
42001302313200
532202244203
63213134452
7562131020
oct201626740
971018375
1034024928
111822a483
12b48a428
137083cc2
144739a80
152ec16d8
hex2072de0

34024928 has 24 divisors (see below), whose sum is σ = 76556592. Its totient is φ = 14582016.

The previous prime is 34024927. The next prime is 34024933. The reversal of 34024928 is 82942043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34024894 and 34024903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75725 + ... + 76172.

It is an arithmetic number, because the mean of its divisors is an integer number (3189858).

Almost surely, 234024928 is an apocalyptic number.

It is an amenable number.

34024928 is an abundant number, since it is smaller than the sum of its proper divisors (42531664).

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

34024928 is a wasteful number, since it uses less digits than its factorization.

34024928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151914 (or 151906 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34024928 is about 5833.0890615522. The cubic root of 34024928 is about 324.0403343578.

The spelling of 34024928 in words is "thirty-four million, twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 151897 303794 607588 1063279 1215176 2126558 2430352 4253116 4860704 8506232 17012464 34024928