Search a number
-
+
42301340 = 2254179653
BaseRepresentation
bin1010000101011…
…1011110011100
32221121010112022
42201113132130
541312120330
64110355312
71022361344
oct241273634
987533468
1042301340
1121972694
12121bbb38
1389c11a3
145891d24
153aa8ae5
hex285779c

42301340 has 48 divisors (see below), whose sum is σ = 92292480. Its totient is φ = 16273920.

The previous prime is 42301339. The next prime is 42301349. The reversal of 42301340 is 4310324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301349) 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, 64454 + ... + 65106.

It is an arithmetic number, because the mean of its divisors is an integer number (1922760).

Almost surely, 242301340 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 42301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46146240).

42301340 is an abundant number, since it is smaller than the sum of its proper divisors (49991140).

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

42301340 is a wasteful number, since it uses less digits than its factorization.

42301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42301340 is about 6503.9480317727. The cubic root of 42301340 is about 348.4320063147.

Adding to 42301340 its reverse (4310324), we get a palindrome (46611664).

The spelling of 42301340 in words is "forty-two million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 316 395 410 653 790 820 1306 1580 2612 3239 3265 6478 6530 12956 13060 16195 26773 32390 51587 53546 64780 103174 107092 133865 206348 257935 267730 515870 535460 1031740 2115067 4230134 8460268 10575335 21150670 42301340