Search a number
-
+
340004214230340 = 2235113312383653113
BaseRepresentation
bin100110101001110110110011…
…0011010010100110101000100
31122120212002022021200200101210
41031103231212122110311010
5324031112112320332330
63203043440230051420
7131421331250103462
oct11523554632246504
91576762267620353
10340004214230340
1199376a83050190
12321731174a9b70
131179434babb4aa
145dd64128ad832
15294945351b8b0
hex1353b66694d44

340004214230340 has 192 divisors, whose sum is σ = 1042134697562112. Its totient is φ = 82141634995200.

The previous prime is 340004214230321. The next prime is 340004214230341. The reversal of 340004214230340 is 43032412400043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340004214230298 and 340004214230307.

It is not an unprimeable number, because it can be changed into a prime (340004214230341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520263624 + ... + 520916736.

It is an arithmetic number, because the mean of its divisors is an integer number (5427784883136).

Almost surely, 2340004214230340 is an apocalyptic number.

340004214230340 is a gapful number since it is divisible by the number (30) 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 340004214230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521067348781056).

340004214230340 is an abundant number, since it is smaller than the sum of its proper divisors (702130483331772).

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

340004214230340 is a wasteful number, since it uses less digits than its factorization.

340004214230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655850 (or 655848 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340004214230340 its reverse (43032412400043), we get a palindrome (383036626630383).

The spelling of 340004214230340 in words is "three hundred forty trillion, four billion, two hundred fourteen million, two hundred thirty thousand, three hundred forty".