Search a number
-
+
34011054 = 23271153463
BaseRepresentation
bin1000000110111…
…1011110101110
32100222221101200
42001233132232
532201323204
63212550330
7562042410
oct201573656
970887350
1034011054
1118220010
12b4823a6
13707a8ac
1447349b0
152ebc539
hex206f7ae

34011054 has 96 divisors (see below), whose sum is σ = 93809664. Its totient is φ = 8648640.

The previous prime is 34011041. The next prime is 34011071. The reversal of 34011054 is 45011043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73227 + ... + 73689.

It is an arithmetic number, because the mean of its divisors is an integer number (977184).

Almost surely, 234011054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46904832).

34011054 is an abundant number, since it is smaller than the sum of its proper divisors (59798610).

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

34011054 is a wasteful number, since it uses less digits than its factorization.

34011054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34011054 is about 5831.8996904954. The cubic root of 34011054 is about 323.9962848225.

Adding to 34011054 its reverse (45011043), we get a palindrome (79022097).

The spelling of 34011054 in words is "thirty-four million, eleven thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 463 477 583 693 742 926 954 1113 1166 1386 1389 1749 2226 2778 3241 3339 3498 4081 4167 5093 5247 6482 6678 8162 8334 9723 10186 10494 12243 15279 19446 24486 24539 29169 30558 35651 36729 45837 49078 58338 71302 73458 73617 91674 106953 147234 171773 213906 220851 269929 320859 343546 441702 515319 539858 641718 809787 1030638 1545957 1619574 1889503 2429361 3091914 3779006 4858722 5668509 11337018 17005527 34011054