Search a number
-
+
34106304 = 263374801
BaseRepresentation
bin1000001000011…
…0101111000000
32101011210001110
42002012233000
532212400204
63215003320
7562620201
oct202065700
971153043
1034106304
1118285631
12b509540
1370b205b
14475b5a8
152eda889
hex2086bc0

34106304 has 56 divisors (see below), whose sum is σ = 92697808. Its totient is φ = 11059200.

The previous prime is 34106299. The next prime is 34106321. The reversal of 34106304 is 40360143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4704 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (1655318).

Almost surely, 234106304 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 34106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348904).

34106304 is an abundant number, since it is smaller than the sum of its proper divisors (58591504).

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

34106304 is a wasteful number, since it uses less digits than its factorization.

34106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34106304 is about 5840.0602736616. The cubic root of 34106304 is about 324.2984599314.

Adding to 34106304 its reverse (40360143), we get a palindrome (74466447).

The spelling of 34106304 in words is "thirty-four million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 4801 7104 9602 14403 19204 28806 38408 57612 76816 115224 153632 177637 230448 307264 355274 460896 532911 710548 921792 1065822 1421096 2131644 2842192 4263288 5684384 8526576 11368768 17053152 34106304