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34188820 = 2257323417
BaseRepresentation
bin1000001001101…
…0111000010100
32101022222020121
42002122320110
532223020240
63220441324
7563412601
oct202327024
971288217
1034188820
1118331626
12b549244
137110793
14477d6a8
15300504a
hex209ae14

34188820 has 24 divisors (see below), whose sum is σ = 72783144. Its totient is φ = 13487616.

The previous prime is 34188811. The next prime is 34188823. The reversal of 34188820 is 2888143.

34188820 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 3319684 + 30869136 = 1822^2 + 5556^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34188823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10249 + ... + 13168.

It is an arithmetic number, because the mean of its divisors is an integer number (3032631).

Almost surely, 234188820 is an apocalyptic number.

It is an amenable number.

34188820 is an abundant number, since it is smaller than the sum of its proper divisors (38594324).

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

34188820 is a wasteful number, since it uses less digits than its factorization.

34188820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23499 (or 23497 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 34188820 is about 5847.1206589226. The cubic root of 34188820 is about 324.5597826866.

The spelling of 34188820 in words is "thirty-four million, one hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 23417 46834 93668 117085 234170 468340 1709441 3418882 6837764 8547205 17094410 34188820