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34124706 = 23371129283
BaseRepresentation
bin1000001000101…
…1001110100010
32101012201022000
42002023032202
532213442311
63215224430
7563024640
oct202131642
971181260
1034124706
1118298440
12b518116
1370ba545
144764190
152ee1056
hex208b3a2

34124706 has 128 divisors (see below), whose sum is σ = 98150400. Its totient is φ = 8527680.

The previous prime is 34124687. The next prime is 34124743. The reversal of 34124706 is 60742143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34124706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120441 + ... + 120723.

It is an arithmetic number, because the mean of its divisors is an integer number (766800).

Almost surely, 234124706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49075200).

34124706 is an abundant number, since it is smaller than the sum of its proper divisors (64025694).

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

34124706 is a wasteful number, since it uses less digits than its factorization.

34124706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34124706 is about 5841.6355586428. The cubic root of 34124706 is about 324.3567743443.

Adding to 34124706 its reverse (60742143), we get a palindrome (94866849).

It can be divided in two parts, 3412 and 4706, that added together give a palindrome (8118).

The spelling of 34124706 in words is "thirty-four million, one hundred twenty-four thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 87 99 126 154 174 189 198 203 231 261 283 297 319 378 406 462 522 566 594 609 638 693 783 849 957 1218 1386 1566 1698 1827 1914 1981 2079 2233 2547 2871 3113 3654 3962 4158 4466 5094 5481 5742 5943 6226 6699 7641 8207 8613 9339 10962 11886 13398 15282 16414 17226 17829 18678 20097 21791 24621 28017 35658 40194 43582 49242 53487 56034 57449 60291 65373 73863 84051 90277 106974 114898 120582 130746 147726 168102 172347 180554 196119 221589 270831 344694 392238 443178 517041 541662 588357 631939 812493 1034082 1176714 1263878 1551123 1624986 1895817 2437479 3102246 3791634 4874958 5687451 11374902 17062353 34124706