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34356132 = 22323133049
BaseRepresentation
bin1000001100001…
…1101110100100
32101122110202100
42003003232210
532243344012
63224212100
7565010436
oct203035644
971573670
1034356132
11184362a8
12b60a030
13716b995
1447c4656
1530398dc
hex20c3ba4

34356132 has 36 divisors (see below), whose sum is σ = 87150700. Its totient is φ = 11411712.

The previous prime is 34356131. The next prime is 34356149. The reversal of 34356132 is 23165343.

It is a happy number.

34356132 is a `hidden beast` number, since 3 + 43 + 5 + 613 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 32901696 = 1206^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 34356096 and 34356105.

It is not an unprimeable number, because it can be changed into a prime (34356131) 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 11 ways as a sum of consecutive naturals, for example, 9744 + ... + 12792.

Almost surely, 234356132 is an apocalyptic number.

It is an amenable number.

34356132 is an abundant number, since it is smaller than the sum of its proper divisors (52794568).

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

34356132 is a wasteful number, since it uses less digits than its factorization.

34356132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3367 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 34356132 is about 5861.4104104729. The cubic root of 34356132 is about 325.0883609841.

The spelling of 34356132 in words is "thirty-four million, three hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3049 3756 5634 6098 9147 11268 12196 18294 27441 36588 54882 109764 954337 1908674 2863011 3817348 5726022 8589033 11452044 17178066 34356132