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34500000 = 2535623
BaseRepresentation
bin1000001110011…
…0110110100000
32101220210002210
42003212312200
532313000000
63231242120
7566150043
oct203466640
971823083
1034500000
11185243a7
12b679340
1371bc302
144820c5a
153067350
hex20e6da0

34500000 has 168 divisors, whose sum is σ = 118123488. Its totient is φ = 8800000.

The previous prime is 34499957. The next prime is 34500001. The reversal of 34500000 is 543.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34500001) 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 27 ways as a sum of consecutive naturals, for example, 1499989 + ... + 1500011.

It is an arithmetic number, because the mean of its divisors is an integer number (703116).

Almost surely, 234500000 is an apocalyptic number.

34500000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59061744).

34500000 is an abundant number, since it is smaller than the sum of its proper divisors (83623488).

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

34500000 is an frugal number, since it uses more digits than its factorization.

34500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 34500000 is about 5873.6700622354. The cubic root of 34500000 is about 325.5415035763.

Adding to 34500000 its reverse (543), we get a palindrome (34500543).

The spelling of 34500000 in words is "thirty-four million, five hundred thousand".