Search a number
-
+
34781096 = 2371997337
BaseRepresentation
bin1000010010101…
…1011110101000
32102110001200202
42010223132220
532400443341
63241251332
7601430420
oct204533650
972401622
1034781096
11186a6609
12b793b48
13728a23c
144895480
1530c079b
hex212b7a8

34781096 has 64 divisors (see below), whose sum is σ = 79497600. Its totient is φ = 13934592.

The previous prime is 34781059. The next prime is 34781113. The reversal of 34781096 is 69018743.

It is a super-2 number, since 2×347810962 = 2419449277922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103040 + ... + 103376.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 234781096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34781096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39748800).

34781096 is an abundant number, since it is smaller than the sum of its proper divisors (44716504).

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

34781096 is a wasteful number, since it uses less digits than its factorization.

34781096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 34781096 is about 5897.5499997880. The cubic root of 34781096 is about 326.4232524204.

The spelling of 34781096 in words is "thirty-four million, seven hundred eighty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 133 152 194 266 337 388 532 674 679 776 1064 1348 1358 1843 2359 2696 2716 3686 4718 5432 6403 7372 9436 12806 12901 14744 18872 25612 25802 32689 44821 51224 51604 65378 89642 103208 130756 179284 228823 261512 358568 457646 621091 915292 1242182 1830584 2484364 4347637 4968728 8695274 17390548 34781096