Search a number
-
+
424342410 = 235231016089
BaseRepresentation
bin11001010010101…
…111001110001010
31002120110211100120
4121102233032022
51332112424120
6110035044110
713341564612
oct3122571612
91076424316
10424342410
111a8591808
12ba140636
1369bb53ab
14404dda42
15273c1140
hex194af38a

424342410 has 64 divisors (see below), whose sum is σ = 1073399040. Its totient is φ = 107148800.

The previous prime is 424342379. The next prime is 424342411. The reversal of 424342410 is 14243424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (424342411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66646 + ... + 72734.

It is an arithmetic number, because the mean of its divisors is an integer number (16771860).

Almost surely, 2424342410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424342410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536699520).

424342410 is an abundant number, since it is smaller than the sum of its proper divisors (649056630).

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

424342410 is a wasteful number, since it uses less digits than its factorization.

424342410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424342410 is about 20599.5730538281. The cubic root of 424342410 is about 751.4593275314.

Adding to 424342410 its reverse (14243424), we get a palindrome (438585834).

It can be divided in two parts, 42434 and 2410, that added together give a palindrome (44844).

The spelling of 424342410 in words is "four hundred twenty-four million, three hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 606 690 1010 1515 2323 3030 4646 6089 6969 11615 12178 13938 18267 23230 30445 34845 36534 60890 69690 91335 140047 182670 280094 420141 614989 700235 840282 1229978 1400470 1844967 2100705 3074945 3689934 4201410 6149890 9224835 14144747 18449670 28289494 42434241 70723735 84868482 141447470 212171205 424342410