Search a number
-
+
34269144 = 23371321771
BaseRepresentation
bin1000001010111…
…0011111011000
32101111001102120
42002232133120
532233103034
63222301240
7564166020
oct202563730
971431376
1034269144
1118386a08
12b587820
13713b200
1447a0a80
15301dc49
hex20ae7d8

34269144 has 192 divisors, whose sum is σ = 113840640. Its totient is φ = 8386560.

The previous prime is 34269139. The next prime is 34269187. The reversal of 34269144 is 44196243.

34269144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 482629 + ... + 482699.

It is an arithmetic number, because the mean of its divisors is an integer number (592920).

Almost surely, 234269144 is an apocalyptic number.

34269144 is a gapful number since it is divisible by the number (34) 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 34269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56920320).

34269144 is an abundant number, since it is smaller than the sum of its proper divisors (79571496).

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

34269144 is a wasteful number, since it uses less digits than its factorization.

34269144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 34269144 is about 5853.9853091719. The cubic root of 34269144 is about 324.8137599629.

The spelling of 34269144 in words is "thirty-four million, two hundred sixty-nine thousand, one hundred forty-four".