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34134870 = 23572112111
BaseRepresentation
bin1000001000110…
…1101101010110
32101020020020110
42002031231112
532214303440
63215343450
7563066400
oct202155526
971206213
1034134870
11182a5040
12b521b86
1370c2063
144767b70
152ee4080
hex208db56

34134870 has 96 divisors (see below), whose sum is σ = 104011776. Its totient is φ = 7089600.

The previous prime is 34134853. The next prime is 34134911. The reversal of 34134870 is 7843143.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15115 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (1083456).

Almost surely, 234134870 is an apocalyptic number.

34134870 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 34134870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52005888).

34134870 is an abundant number, since it is smaller than the sum of its proper divisors (69876906).

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

34134870 is a wasteful number, since it uses less digits than its factorization.

34134870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 34134870 is about 5842.5054557099. The cubic root of 34134870 is about 324.3889742310.

The spelling of 34134870 in words is "thirty-four million, one hundred thirty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2111 2310 2695 3234 4222 5390 6333 8085 10555 12666 14777 16170 21110 23221 29554 31665 44331 46442 63330 69663 73885 88662 103439 116105 139326 147770 162547 206878 221655 232210 310317 325094 348315 443310 487641 517195 620634 696630 812735 975282 1034390 1137829 1551585 1625470 2275658 2438205 3103170 3413487 4876410 5689145 6826974 11378290 17067435 34134870