Search a number
-
+
342582606 = 232171975683
BaseRepresentation
bin10100011010110…
…110010101001110
3212212121222222200
4110122312111032
51200200120411
653554422330
711326622052
oct2432662516
9785558880
10342582606
11166419423
12968919a6
1355c8a002
14336d9c62
1520120e56
hex146b654e

342582606 has 48 divisors (see below), whose sum is σ = 790053264. Its totient is φ = 106912512.

The previous prime is 342582601. The next prime is 342582613. The reversal of 342582606 is 606285243.

342582606 is a `hidden beast` number, since 3 + 42 + 5 + 8 + 2 + 606 = 666.

It is a super-3 number, since 3×3425826063 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342582601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57441 + ... + 63123.

It is an arithmetic number, because the mean of its divisors is an integer number (16459443).

Almost surely, 2342582606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342582606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395026632).

342582606 is an abundant number, since it is smaller than the sum of its proper divisors (447470658).

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

342582606 is a wasteful number, since it uses less digits than its factorization.

342582606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 342582606 is about 18508.9871684001. The cubic root of 342582606 is about 699.7159432501.

It can be divided in two parts, 34258 and 2606, that added together give a square (36864 = 1922).

The spelling of 342582606 in words is "three hundred forty-two million, five hundred eighty-two thousand, six hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 591 1182 1773 3349 3546 5683 6698 10047 11366 17049 20094 30141 34098 51147 60282 96611 102294 193222 289833 579666 869499 1119551 1738998 2239102 3358653 6717306 10075959 19032367 20151918 38064734 57097101 114194202 171291303 342582606