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34103706 = 2372138923
BaseRepresentation
bin1000001000011…
…0000110011010
32101011122111020
42002012012122
532212304311
63214543310
7562606500
oct202060632
971148436
1034103706
111828368a
12b507b36
1370b0b10
14475a670
152ed9c06
hex208619a

34103706 has 48 divisors (see below), whose sum is σ = 85456224. Its totient is φ = 8993376.

The previous prime is 34103701. The next prime is 34103731. The reversal of 34103706 is 60730143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (1780338).

Almost surely, 234103706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42728112).

34103706 is an abundant number, since it is smaller than the sum of its proper divisors (51352518).

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

34103706 is a wasteful number, since it uses less digits than its factorization.

34103706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 34103706 is about 5839.8378402144. The cubic root of 34103706 is about 324.2902253951.

Adding to 34103706 its reverse (60730143), we get a palindrome (94833849).

It can be divided in two parts, 34 and 103706, that added together give a triangular number (103740 = T455).

The spelling of 34103706 in words is "thirty-four million, one hundred three thousand, seven hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 8923 17846 26769 53538 62461 115999 124922 187383 231998 347997 374766 437227 695994 811993 874454 1311681 1623986 2435979 2623362 4871958 5683951 11367902 17051853 34103706