Search a number
-
+
34123110 = 23572139167
BaseRepresentation
bin1000001000101…
…0110101100110
32101012122002220
42002022311212
532213414420
63215213210
7563020200
oct202126546
971178086
1034123110
111829721a
12b517206
1370b98b8
144763770
152ee0840
hex208ad66

34123110 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 7697088.

The previous prime is 34123093. The next prime is 34123151. The reversal of 34123110 is 1132143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34123110.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 204247 + ... + 204413.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 234123110 is an apocalyptic number.

34123110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34123110 is an abundant number, since it is smaller than the sum of its proper divisors (62402970).

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

34123110 is a wasteful number, since it uses less digits than its factorization.

34123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34123110 is about 5841.4989514679. The cubic root of 34123110 is about 324.3517175830.

Adding to 34123110 its reverse (1132143), we get a palindrome (35255253).

The spelling of 34123110 in words is "thirty-four million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 139 147 167 210 245 278 294 334 417 490 501 695 735 834 835 973 1002 1169 1390 1470 1670 1946 2085 2338 2505 2919 3507 4170 4865 5010 5838 5845 6811 7014 8183 9730 11690 13622 14595 16366 17535 20433 23213 24549 29190 34055 35070 40866 40915 46426 49098 68110 69639 81830 102165 116065 122745 139278 162491 204330 232130 245490 324982 348195 487473 696390 812455 974946 1137437 1624910 2274874 2437365 3412311 4874730 5687185 6824622 11374370 17061555 34123110