Search a number
-
+
34322904 = 233271141151
BaseRepresentation
bin1000001011101…
…1100111011000
32101120210011200
42002323213120
532241313104
63223354200
7564511530
oct202734730
971523150
1034322904
1118413340
12b5b2960
137159815
1447b64c0
15302eb39
hex20bb9d8

34322904 has 192 divisors, whose sum is σ = 119508480. Its totient is φ = 8640000.

The previous prime is 34322887. The next prime is 34322929. The reversal of 34322904 is 40922343.

It is a happy number.

34322904 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, 227229 + ... + 227379.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 234322904 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 34322904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

34322904 is an abundant number, since it is smaller than the sum of its proper divisors (85185576).

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

34322904 is a wasteful number, since it uses less digits than its factorization.

34322904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34322904 is about 5858.5752534213. The cubic root of 34322904 is about 324.9835226360.

It can be divided in two parts, 3432 and 2904, that added together give a palindrome (6336).

The spelling of 34322904 in words is "thirty-four million, three hundred twenty-two thousand, nine hundred four".