Search a number
-
+
6834114 = 232773743
BaseRepresentation
bin11010000100011111000010
3110212012122100
4122010133002
53222142424
6402251230
7112042350
oct32043702
913765570
106834114
113948631
122356b16
131553871
14c9c7d0
158eedc9
hex6847c2

6834114 has 48 divisors (see below), whose sum is σ = 17177472. Its totient is φ = 1923264.

The previous prime is 6834089. The next prime is 6834131. The reversal of 6834114 is 4114386.

It is a super-2 number, since 2×68341142 = 93410228329992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8827 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (357864).

Almost surely, 26834114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588736).

6834114 is an abundant number, since it is smaller than the sum of its proper divisors (10343358).

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

6834114 is a wasteful number, since it uses less digits than its factorization.

6834114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 828 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 6834114 is about 2614.2138397614. The cubic root of 6834114 is about 189.7699339044.

The spelling of 6834114 in words is "six million, eight hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 743 1022 1314 1486 1533 2229 3066 4458 4599 5201 6687 9198 10402 13374 15603 31206 46809 54239 93618 108478 162717 325434 379673 488151 759346 976302 1139019 2278038 3417057 6834114