Search a number
-
+
42341000 = 2353133257
BaseRepresentation
bin1010000110000…
…1001010001000
32221200010221012
42201201022020
541314403000
64111303052
71022615102
oct241411210
987603835
1042341000
112199a469
121221aa88
138a06260
1458a2572
153ab5735
hex2861288

42341000 has 64 divisors (see below), whose sum is σ = 106732080. Its totient is φ = 15628800.

The previous prime is 42340981. The next prime is 42341003. The reversal of 42341000 is 14324.

It can be written as a sum of positive squares in 8 ways, for example, as 1406596 + 40934404 = 1186^2 + 6398^2 .

It is not an unprimeable number, because it can be changed into a prime (42341003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11372 + ... + 14628.

Almost surely, 242341000 is an apocalyptic number.

42341000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53366040).

42341000 is an abundant number, since it is smaller than the sum of its proper divisors (64391080).

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

42341000 is a wasteful number, since it uses less digits than its factorization.

42341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42341000 is about 6506.9962348229. The cubic root of 42341000 is about 348.5408641505.

Adding to 42341000 its reverse (14324), we get a palindrome (42355324).

The spelling of 42341000 in words is "forty-two million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 3257 6500 6514 13000 13028 16285 26056 32570 42341 65140 81425 84682 130280 162850 169364 211705 325700 338728 407125 423410 651400 814250 846820 1058525 1628500 1693640 2117050 3257000 4234100 5292625 8468200 10585250 21170500 42341000