Search a number
-
+
34305376 = 257295281
BaseRepresentation
bin1000001011011…
…1010101100000
32101112220010111
42002313111200
532240233001
63223141104
7564406450
oct202672540
971486114
1034305376
1118401156
12b5a4794
137151851
1447add60
153029851
hex20b7560

34305376 has 48 divisors (see below), whose sum is σ = 79863840. Its totient is φ = 14192640.

The previous prime is 34305361. The next prime is 34305379. The reversal of 34305376 is 67350343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305379) 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, 3856 + ... + 9136.

It is an arithmetic number, because the mean of its divisors is an integer number (1663830).

Almost surely, 234305376 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 34305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39931920).

34305376 is an abundant number, since it is smaller than the sum of its proper divisors (45558464).

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

34305376 is a wasteful number, since it uses less digits than its factorization.

34305376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 34305376 is about 5857.0791355419. The cubic root of 34305376 is about 324.9281924196.

The spelling of 34305376 in words is "thirty-four million, three hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 5281 6496 10562 21124 36967 42248 73934 84496 147868 153149 168992 295736 306298 591472 612596 1072043 1182944 1225192 2144086 2450384 4288172 4900768 8576344 17152688 34305376