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34335540 = 22325190753
BaseRepresentation
bin1000001011111…
…0101100110100
32101121102111200
42002332230310
532242214130
63223532500
7564563421
oct202765464
971542450
1034335540
1118421888
12b5ba130
1371624b5
1447bad48
153033760
hex20beb34

34335540 has 36 divisors (see below), whose sum is σ = 104151684. Its totient is φ = 9156096.

The previous prime is 34335517. The next prime is 34335547. The reversal of 34335540 is 4553343.

It is a happy number.

34335540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21288996 + 13046544 = 4614^2 + 3612^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34335547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95197 + ... + 95556.

Almost surely, 234335540 is an apocalyptic number.

34335540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34335540 is an abundant number, since it is smaller than the sum of its proper divisors (69816144).

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

34335540 is a wasteful number, since it uses less digits than its factorization.

34335540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190768 (or 190763 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 34335540 is about 5859.6535733779. The cubic root of 34335540 is about 325.0233987098.

Adding to 34335540 its reverse (4553343), we get a palindrome (38888883).

The spelling of 34335540 in words is "thirty-four million, three hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 190753 381506 572259 763012 953765 1144518 1716777 1907530 2289036 2861295 3433554 3815060 5722590 6867108 8583885 11445180 17167770 34335540