Search a number
-
+
34090848 = 25331117211
BaseRepresentation
bin1000001000001…
…0111101100000
32101010222212000
42002002331200
532211401343
63214404000
7562524141
oct202027540
971128760
1034090848
1118274a60
12b500600
1370a7ccc
144755ac8
152ed5ed3
hex2082f60

34090848 has 192 divisors, whose sum is σ = 115395840. Its totient is φ = 9676800.

The previous prime is 34090841. The next prime is 34090867. The reversal of 34090848 is 84809043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34090841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161463 + ... + 161673.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 234090848 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 34090848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

34090848 is an abundant number, since it is smaller than the sum of its proper divisors (81304992).

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

34090848 is a wasteful number, since it uses less digits than its factorization.

34090848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34090848 is about 5838.7368496962. The cubic root of 34090848 is about 324.2494649388.

The spelling of 34090848 in words is "thirty-four million, ninety thousand, eight hundred forty-eight".