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34052020 = 22517100153
BaseRepresentation
bin1000000111100…
…1011110110100
32101002000120221
42001321132310
532204131040
63213504124
7562303012
oct201713664
971060527
1034052020
1118248872
12b4a2044
137093432
1447458b2
152ec974a
hex20797b4

34052020 has 24 divisors (see below), whose sum is σ = 75716424. Its totient is φ = 12819456.

The previous prime is 34051993. The next prime is 34052021. The reversal of 34052020 is 2025043.

34052020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 20124196 = 3732^2 + 4486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34051985 and 34052003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052021) 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 7 ways as a sum of consecutive naturals, for example, 49737 + ... + 50416.

It is an arithmetic number, because the mean of its divisors is an integer number (3154851).

Almost surely, 234052020 is an apocalyptic number.

It is an amenable number.

34052020 is an abundant number, since it is smaller than the sum of its proper divisors (41664404).

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

34052020 is a wasteful number, since it uses less digits than its factorization.

34052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100179 (or 100177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34052020 is about 5835.4108681394. The cubic root of 34052020 is about 324.1263161389.

Adding to 34052020 its reverse (2025043), we get a palindrome (36077063).

The spelling of 34052020 in words is "thirty-four million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 100153 200306 400612 500765 1001530 1702601 2003060 3405202 6810404 8513005 17026010 34052020