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34020020 = 22531371483
BaseRepresentation
bin1000000111000…
…1101010110100
32101000101200202
42001301222310
532202120040
63213100032
7562110506
oct201615264
971011622
1034020020
1118226821
12b487618
1370819b8
144737d76
152ec0015
hex2071ab4

34020020 has 48 divisors (see below), whose sum is σ = 75790848. Its totient is φ = 12804480.

The previous prime is 34020001. The next prime is 34020023. The reversal of 34020020 is 2002043.

It is a junction number, because it is equal to n+sod(n) for n = 34019983 and 34020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020023) 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 15 ways as a sum of consecutive naturals, for example, 22199 + ... + 23681.

It is an arithmetic number, because the mean of its divisors is an integer number (1578976).

Almost surely, 234020020 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 34020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895424).

34020020 is an abundant number, since it is smaller than the sum of its proper divisors (41770828).

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

34020020 is a wasteful number, since it uses less digits than its factorization.

34020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34020020 is about 5832.6683430485. The cubic root of 34020020 is about 324.0247529735.

Adding to 34020020 its reverse (2002043), we get a palindrome (36022063).

The spelling of 34020020 in words is "thirty-four million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 1483 2294 2966 4588 5735 5932 7415 11470 14830 22940 29660 45973 54871 91946 109742 183892 219484 229865 274355 459730 548710 919460 1097420 1701001 3402002 6804004 8505005 17010010 34020020