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34138420 = 2253746133
BaseRepresentation
bin1000001000111…
…0100100110100
32101020102002221
42002032210310
532214412140
63215412124
7563112631
oct202164464
971212087
1034138420
11182a7778
12b524044
1370c3864
144769188
152ee514a
hex208e934

34138420 has 24 divisors (see below), whose sum is σ = 73629864. Its totient is φ = 13286016.

The previous prime is 34138399. The next prime is 34138439. The reversal of 34138420 is 2483143.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 23406244 = 3276^2 + 4838^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22327 + ... + 23806.

It is an arithmetic number, because the mean of its divisors is an integer number (3067911).

Almost surely, 234138420 is an apocalyptic number.

It is an amenable number.

34138420 is an abundant number, since it is smaller than the sum of its proper divisors (39491444).

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

34138420 is a wasteful number, since it uses less digits than its factorization.

34138420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46179 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34138420 is about 5842.8092558289. The cubic root of 34138420 is about 324.4002192417.

The spelling of 34138420 in words is "thirty-four million, one hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 46133 92266 184532 230665 461330 922660 1706921 3413842 6827684 8534605 17069210 34138420