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34088020 = 2256127941
BaseRepresentation
bin1000001000001…
…0010001010100
32101010211222021
42002002101110
532211304040
63214342524
7562512661
oct202022124
971124867
1034088020
111827291a
12b4baa44
1370a6935
144754a68
152ed524a
hex2082454

34088020 has 24 divisors (see below), whose sum is σ = 72760968. Its totient is φ = 13411200.

The previous prime is 34087993. The next prime is 34088029. The reversal of 34088020 is 2088043.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 34082244 = 76^2 + 5838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34088029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12751 + ... + 15190.

It is an arithmetic number, because the mean of its divisors is an integer number (3031707).

Almost surely, 234088020 is an apocalyptic number.

It is an amenable number.

34088020 is an abundant number, since it is smaller than the sum of its proper divisors (38672948).

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

34088020 is a wasteful number, since it uses less digits than its factorization.

34088020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28011 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 34088020 is about 5838.4946690050. The cubic root of 34088020 is about 324.2404986727.

The spelling of 34088020 in words is "thirty-four million, eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 27941 55882 111764 139705 279410 558820 1704401 3408802 6817604 8522005 17044010 34088020