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34838180 = 22513133993
BaseRepresentation
bin1000010011100…
…1011010100100
32102112221222222
42010321122210
532404310210
63242411512
7602056016
oct204713244
972487888
1034838180
1118735493
12b800b98
1372aa210
1448ac1b6
1530d2655
hex21396a4

34838180 has 24 divisors (see below), whose sum is σ = 78788472. Its totient is φ = 12863232.

The previous prime is 34838173. The next prime is 34838183. The reversal of 34838180 is 8183843.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 34550884 = 536^2 + 5878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34838180.

It is not an unprimeable number, because it can be changed into a prime (34838183) 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 7 ways as a sum of consecutive naturals, for example, 66737 + ... + 67256.

It is an arithmetic number, because the mean of its divisors is an integer number (3282853).

Almost surely, 234838180 is an apocalyptic number.

It is an amenable number.

34838180 is an abundant number, since it is smaller than the sum of its proper divisors (43950292).

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

34838180 is a wasteful number, since it uses less digits than its factorization.

34838180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134015 (or 134013 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 34838180 is about 5902.3876524674. The cubic root of 34838180 is about 326.6017340513.

The spelling of 34838180 in words is "thirty-four million, eight hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 133993 267986 535972 669965 1339930 1741909 2679860 3483818 6967636 8709545 17419090 34838180