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34683136 = 28612221
BaseRepresentation
bin1000010001001…
…1100100000000
32102021002022121
42010103210000
532334330021
63235214024
7600542005
oct204234400
972232277
1034683136
1118639a54
12b747314
137254787
14486b8ac
1530a1741
hex2113900

34683136 has 36 divisors (see below), whose sum is σ = 70397404. Its totient is φ = 17049600.

The previous prime is 34683071. The next prime is 34683137. The reversal of 34683136 is 63138643.

It can be written as a sum of positive squares in 2 ways, for example, as 10240000 + 24443136 = 3200^2 + 4944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34683137) 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 3 ways as a sum of consecutive naturals, for example, 14506 + ... + 16726.

Almost surely, 234683136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35198702).

34683136 is an abundant number, since it is smaller than the sum of its proper divisors (35714268).

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

34683136 is an equidigital number, since it uses as much as digits as its factorization.

34683136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2284 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 34683136 is about 5889.2390000746. The cubic root of 34683136 is about 326.1165102263.

The spelling of 34683136 in words is "thirty-four million, six hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 2221 3904 4442 7808 8884 15616 17768 35536 71072 135481 142144 270962 284288 541924 568576 1083848 2167696 4335392 8670784 17341568 34683136