Search a number
-
+
34048781 = 133896733
BaseRepresentation
bin1000000111100…
…0101100001101
32101001212010222
42001320230031
532204030111
63213441125
7562260404
oct201705415
971055128
1034048781
1118246398
12b4a01a5
137091b10
14474463b
152ec87db
hex2078b0d

34048781 has 8 divisors (see below), whose sum is σ = 36767640. Its totient is φ = 31344192.

The previous prime is 34048759. The next prime is 34048787. The reversal of 34048781 is 18784043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5522500 + 28526281 = 2350^2 + 5341^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34048781 - 218 = 33786637 is a prime.

It is a super-2 number, since 2×340487812 = 2318638975171922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048787) 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 7 ways as a sum of consecutive naturals, for example, 1691 + ... + 8423.

It is an arithmetic number, because the mean of its divisors is an integer number (4595955).

Almost surely, 234048781 is an apocalyptic number.

It is an amenable number.

34048781 is a deficient number, since it is larger than the sum of its proper divisors (2718859).

34048781 is a wasteful number, since it uses less digits than its factorization.

34048781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 34048781 is about 5835.1333318100. The cubic root of 34048781 is about 324.1160389372.

The spelling of 34048781 in words is "thirty-four million, forty-eight thousand, seven hundred eighty-one".

Divisors: 1 13 389 5057 6733 87529 2619137 34048781