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34240428 = 22331072963
BaseRepresentation
bin1000001010011…
…1011110101100
32101102121001000
42002213132230
532231143203
63221520300
7564016215
oct202473654
971377030
1034240428
1118367382
12b573090
13712b111
14479440c
1530154a3
hex20a77ac

34240428 has 48 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 11302992.

The previous prime is 34240421. The next prime is 34240433. The reversal of 34240428 is 82404243.

It is a happy number.

34240428 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 (27).

It is not an unprimeable number, because it can be changed into a prime (34240421) 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, 10075 + ... + 13037.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 234240428 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 34240428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

34240428 is an abundant number, since it is smaller than the sum of its proper divisors (55390932).

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

34240428 is a wasteful number, since it uses less digits than its factorization.

34240428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3075 counting only the distinct ones).

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

The square root of 34240428 is about 5851.5321070639. The cubic root of 34240428 is about 324.7230081732.

The spelling of 34240428 in words is "thirty-four million, two hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 2963 3852 5778 5926 8889 11556 11852 17778 26667 35556 53334 80001 106668 160002 317041 320004 634082 951123 1268164 1902246 2853369 3804492 5706738 8560107 11413476 17120214 34240428