Search a number
-
+
1834393540 = 225722358757
BaseRepresentation
bin110110101010110…
…1001111111000100
311201211201211212111
41231111221333010
512224101043130
6502005230404
763313042060
oct15525517704
94654654774
101834393540
11861516021
12432402404
13233072a85
141358aaaa0
15ab09e02a
hex6d569fc4

1834393540 has 48 divisors (see below), whose sum is σ = 4422362112. Its totient is φ = 626103936.

The previous prime is 1834393529. The next prime is 1834393549. The reversal of 1834393540 is 453934381.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1834393493 and 1834393502.

It is not an unprimeable number, because it can be changed into a prime (1834393549) 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, 1842 + ... + 60598.

It is an arithmetic number, because the mean of its divisors is an integer number (92132544).

Almost surely, 21834393540 is an apocalyptic number.

1834393540 is a gapful number since it is divisible by the number (10) 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 1834393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211181056).

1834393540 is an abundant number, since it is smaller than the sum of its proper divisors (2587968572).

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

1834393540 is a wasteful number, since it uses less digits than its factorization.

1834393540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58996 (or 58994 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 1834393540 is about 42829.8206860594. The cubic root of 1834393540 is about 1224.1392904336.

The spelling of 1834393540 in words is "one billion, eight hundred thirty-four million, three hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 31220 58757 117514 235028 293785 411299 587570 822598 1175140 1645196 2056495 4112990 8225980 13102811 26205622 52411244 65514055 91719677 131028110 183439354 262056220 366878708 458598385 917196770 1834393540