Search a number
-
+
340442000 = 24531721931
BaseRepresentation
bin10100010010101…
…011101110010000
3212201121020121222
4110102223232100
51144123121000
653440504212
711302465163
oct2422535620
9781536558
10340442000
11165197128
129601b068
13556ba892
14332ddada
151ed4ba85
hex144abb90

340442000 has 240 divisors, whose sum is σ = 950177280. Its totient is φ = 117504000.

The previous prime is 340441961. The next prime is 340442023. The reversal of 340442000 is 244043.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 340442000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10981985 + ... + 10982015.

It is an arithmetic number, because the mean of its divisors is an integer number (3959072).

Almost surely, 2340442000 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 340442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475088640).

340442000 is an abundant number, since it is smaller than the sum of its proper divisors (609735280).

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

340442000 is a wasteful number, since it uses less digits than its factorization.

340442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 340442000 is about 18451.0704296526. The cubic root of 340442000 is about 698.2555201141.

Adding to 340442000 its reverse (244043), we get a palindrome (340686043).

The spelling of 340442000 in words is "three hundred forty million, four hundred forty-two thousand".