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206734842 = 2342335477
BaseRepresentation
bin11000101001010…
…00010111111010
3112102000012220000
430110220113322
5410411003332
632303013430
75060134326
oct1424502772
9472005800
10206734842
11a6772a46
125929a276
1333aa4912
141d656986
1513239b7c
hexc5285fa

206734842 has 40 divisors (see below), whose sum is σ = 465312276. Its totient is φ = 68603328.

The previous prime is 206734837. The next prime is 206734849. The reversal of 206734842 is 248437602.

206734842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196868961 + 9865881 = 14031^2 + 3141^2 .

It is a super-3 number, since 3×2067348423 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 206734797 and 206734806.

It is not an unprimeable number, because it can be changed into a prime (206734849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35008 + ... + 40484.

Almost surely, 2206734842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206734842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232656138).

206734842 is an abundant number, since it is smaller than the sum of its proper divisors (258577434).

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

206734842 is a wasteful number, since it uses less digits than its factorization.

206734842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 206734842 is about 14378.2767395818. The cubic root of 206734842 is about 591.2954795488.

The spelling of 206734842 in words is "two hundred six million, seven hundred thirty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 699 1398 2097 4194 5477 6291 10954 12582 16431 18873 32862 37746 49293 98586 147879 295758 443637 887274 1276141 2552282 3828423 7656846 11485269 22970538 34455807 68911614 103367421 206734842